diff --git a/pandas/_libs/lib.pyx b/pandas/_libs/lib.pyx
index f844ad45c7026..658f7fb202531 100644
--- a/pandas/_libs/lib.pyx
+++ b/pandas/_libs/lib.pyx
@@ -75,7 +75,7 @@ from pandas._libs.tslibs.nattype cimport (
 from pandas._libs.tslibs.conversion cimport convert_to_tsobject
 from pandas._libs.tslibs.timedeltas cimport convert_to_timedelta64
 from pandas._libs.tslibs.timezones cimport get_timezone, tz_compare
-from pandas._libs.tslibs.period cimport is_period_object
+from pandas._libs.tslibs.base cimport is_period_object
 
 from pandas._libs.missing cimport (
     checknull,
diff --git a/pandas/_libs/tslibs/conversion.pyx b/pandas/_libs/tslibs/conversion.pyx
index 264861ef8a2d4..0721f4cdbf911 100644
--- a/pandas/_libs/tslibs/conversion.pyx
+++ b/pandas/_libs/tslibs/conversion.pyx
@@ -13,7 +13,7 @@ from cpython.datetime cimport (datetime, time, tzinfo,
                                PyDateTime_IMPORT)
 PyDateTime_IMPORT
 
-from pandas._libs.tslibs.base cimport ABCTimestamp
+from pandas._libs.tslibs.base cimport ABCTimestamp, is_period_object
 
 from pandas._libs.tslibs.np_datetime cimport (
     check_dts_bounds, npy_datetimestruct, pandas_datetime_to_datetimestruct,
@@ -37,10 +37,11 @@ from pandas._libs.tslibs.nattype import nat_strings
 from pandas._libs.tslibs.nattype cimport (
     NPY_NAT, checknull_with_nat, c_NaT as NaT)
 
-from pandas._libs.tslibs.tzconversion import (
-    tz_localize_to_utc, tz_convert_single)
+from pandas._libs.tslibs.tzconversion import tz_localize_to_utc
 from pandas._libs.tslibs.tzconversion cimport (
-    _tz_convert_tzlocal_utc, _tz_convert_tzlocal_fromutc)
+    _tz_convert_tzlocal_utc, _tz_convert_tzlocal_fromutc,
+    tz_convert_single
+)
 
 # ----------------------------------------------------------------------
 # Constants
@@ -286,7 +287,7 @@ cdef convert_to_tsobject(object ts, object tz, object unit,
         # Keep the converter same as PyDateTime's
         ts = datetime.combine(ts, time())
         return convert_datetime_to_tsobject(ts, tz)
-    elif getattr(ts, '_typ', None) == 'period':
+    elif is_period_object(ts):
         raise ValueError("Cannot convert Period to Timestamp "
                          "unambiguously. Use to_timestamp")
     else:
diff --git a/pandas/_libs/tslibs/frequencies.pyx b/pandas/_libs/tslibs/frequencies.pyx
index 31747f96399ee..41de364c392f7 100644
--- a/pandas/_libs/tslibs/frequencies.pyx
+++ b/pandas/_libs/tslibs/frequencies.pyx
@@ -3,7 +3,7 @@ import re
 cimport numpy as cnp
 cnp.import_array()
 
-from pandas._libs.tslibs.util cimport is_integer_object
+from pandas._libs.tslibs.util cimport is_integer_object, is_offset_object
 
 from pandas._libs.tslibs.ccalendar import MONTH_NUMBERS
 
@@ -153,7 +153,7 @@ cpdef get_freq_code(freqstr):
     >>> get_freq_code(('D', 3))
     (6000, 3)
     """
-    if getattr(freqstr, '_typ', None) == 'dateoffset':
+    if is_offset_object(freqstr):
         freqstr = (freqstr.rule_code, freqstr.n)
 
     if isinstance(freqstr, tuple):
@@ -451,8 +451,8 @@ cdef str _maybe_coerce_freq(code):
     code : string
     """
     assert code is not None
-    if getattr(code, '_typ', None) == 'dateoffset':
-        # i.e. isinstance(code, ABCDateOffset):
+    if is_offset_object(code):
+        # i.e. isinstance(code, DateOffset):
         code = code.rule_code
     return code.upper()
 
diff --git a/pandas/_libs/tslibs/nattype.pyx b/pandas/_libs/tslibs/nattype.pyx
index a45e10e8337a4..79af440128010 100644
--- a/pandas/_libs/tslibs/nattype.pyx
+++ b/pandas/_libs/tslibs/nattype.pyx
@@ -15,11 +15,10 @@ from cpython.datetime cimport (
     datetime,
     timedelta,
 )
+PyDateTime_IMPORT
 
 from cpython.version cimport PY_MINOR_VERSION
 
-PyDateTime_IMPORT
-
 import numpy as np
 cimport numpy as cnp
 from numpy cimport int64_t
@@ -30,6 +29,7 @@ from pandas._libs.tslibs.np_datetime cimport (
     get_timedelta64_value,
 )
 cimport pandas._libs.tslibs.util as util
+from pandas._libs.tslibs.base cimport is_period_object
 
 from pandas._libs.missing cimport C_NA
 
@@ -150,7 +150,7 @@ cdef class _NaT(datetime):
         elif util.is_offset_object(other):
             return c_NaT
 
-        elif util.is_integer_object(other) or util.is_period_object(other):
+        elif util.is_integer_object(other) or is_period_object(other):
             # For Period compat
             # TODO: the integer behavior is deprecated, remove it
             return c_NaT
@@ -186,7 +186,7 @@ cdef class _NaT(datetime):
         elif util.is_offset_object(other):
             return c_NaT
 
-        elif util.is_integer_object(other) or util.is_period_object(other):
+        elif util.is_integer_object(other) or is_period_object(other):
             # For Period compat
             # TODO: the integer behavior is deprecated, remove it
             return c_NaT
diff --git a/pandas/_libs/tslibs/offsets.pyx b/pandas/_libs/tslibs/offsets.pyx
index ff0d96f0f2525..0c9e0e2f7d2de 100644
--- a/pandas/_libs/tslibs/offsets.pyx
+++ b/pandas/_libs/tslibs/offsets.pyx
@@ -435,12 +435,12 @@ class _BaseOffset:
         return self.apply(other)
 
     def __mul__(self, other):
-        if hasattr(other, "_typ"):
-            return NotImplemented
         if util.is_array(other):
             return np.array([self * x for x in other])
-        return type(self)(n=other * self.n, normalize=self.normalize,
-                          **self.kwds)
+        elif is_integer_object(other):
+            return type(self)(n=other * self.n, normalize=self.normalize,
+                              **self.kwds)
+        return NotImplemented
 
     def __neg__(self):
         # Note: we are deferring directly to __mul__ instead of __rmul__, as
diff --git a/pandas/_libs/tslibs/parsing.pyx b/pandas/_libs/tslibs/parsing.pyx
index 5fda0db4891c3..c31d4d92c6054 100644
--- a/pandas/_libs/tslibs/parsing.pyx
+++ b/pandas/_libs/tslibs/parsing.pyx
@@ -34,7 +34,11 @@ from pandas._config import get_option
 
 from pandas._libs.tslibs.ccalendar import MONTH_NUMBERS
 from pandas._libs.tslibs.nattype import nat_strings, NaT
-from pandas._libs.tslibs.util cimport is_array, get_c_string_buf_and_size
+from pandas._libs.tslibs.util cimport (
+    is_array,
+    is_offset_object,
+    get_c_string_buf_and_size,
+)
 from pandas._libs.tslibs.frequencies cimport get_rule_month
 
 cdef extern from "../src/headers/portable.h":
@@ -262,7 +266,7 @@ def parse_time_string(arg: str, freq=None, dayfirst=None, yearfirst=None):
     if not isinstance(arg, str):
         raise TypeError("parse_time_string argument must be str")
 
-    if getattr(freq, "_typ", None) == "dateoffset":
+    if is_offset_object(freq):
         freq = freq.rule_code
 
     if dayfirst is None or yearfirst is None:
diff --git a/pandas/_libs/tslibs/period.pxd b/pandas/_libs/tslibs/period.pxd
deleted file mode 100644
index eb11a4a572e85..0000000000000
--- a/pandas/_libs/tslibs/period.pxd
+++ /dev/null
@@ -1 +0,0 @@
-cdef bint is_period_object(object obj)
diff --git a/pandas/_libs/tslibs/period.pyx b/pandas/_libs/tslibs/period.pyx
index 3c02cda651728..c5f48fdc8c411 100644
--- a/pandas/_libs/tslibs/period.pyx
+++ b/pandas/_libs/tslibs/period.pyx
@@ -37,7 +37,7 @@ cdef extern from "src/datetime/np_datetime.h":
 
 cimport pandas._libs.tslibs.util as util
 
-from pandas._libs.tslibs.base cimport ABCPeriod
+from pandas._libs.tslibs.base cimport ABCPeriod, is_period_object
 
 from pandas._libs.tslibs.timestamps import Timestamp
 from pandas._libs.tslibs.timezones cimport is_utc, is_tzlocal, get_dst_info
@@ -2452,15 +2452,6 @@ class Period(_Period):
         return cls._from_ordinal(ordinal, freq)
 
 
-cdef bint is_period_object(object obj):
-    """
-    Cython-optimized equivalent of isinstance(obj, Period)
-    """
-    # Note: this is significantly faster than the implementation in tslibs.util,
-    #  only use the util version when necessary to prevent circular imports.
-    return isinstance(obj, _Period)
-
-
 cdef int64_t _ordinal_from_fields(int year, int month, quarter, int day,
                                   int hour, int minute, int second, freq):
     base, mult = get_freq_code(freq)
diff --git a/pandas/_libs/tslibs/resolution.pyx b/pandas/_libs/tslibs/resolution.pyx
index ecf31c15bb72c..80a3466f5a1aa 100644
--- a/pandas/_libs/tslibs/resolution.pyx
+++ b/pandas/_libs/tslibs/resolution.pyx
@@ -1,7 +1,7 @@
 import numpy as np
 from numpy cimport ndarray, int64_t, int32_t
 
-from pandas._libs.tslibs.util cimport get_nat
+from pandas._libs.tslibs.util cimport get_nat, is_offset_object
 
 from pandas._libs.tslibs.np_datetime cimport (
     npy_datetimestruct, dt64_to_dtstruct)
@@ -118,7 +118,7 @@ def get_freq_group(freq) -> int:
     >>> get_freq_group('W-FRI')
     4000
     """
-    if getattr(freq, '_typ', None) == 'dateoffset':
+    if is_offset_object(freq):
         freq = freq.rule_code
 
     if isinstance(freq, str):
diff --git a/pandas/_libs/tslibs/util.pxd b/pandas/_libs/tslibs/util.pxd
index cc98781dc73cf..eb535a994e538 100644
--- a/pandas/_libs/tslibs/util.pxd
+++ b/pandas/_libs/tslibs/util.pxd
@@ -168,21 +168,6 @@ cdef inline bint is_array(object val):
     return PyArray_Check(val)
 
 
-cdef inline bint is_period_object(object val):
-    """
-    Cython equivalent of `isinstance(val, pd.Period)`
-
-    Parameters
-    ----------
-    val : object
-
-    Returns
-    -------
-    is_period : bool
-    """
-    return getattr(val, '_typ', '_typ') == 'period'
-
-
 cdef inline bint is_offset_object(object val):
     """
     Check if an object is a DateOffset object.
diff --git a/pandas/core/resample.py b/pandas/core/resample.py
index 06751d9c35fab..6cd28965dfca8 100644
--- a/pandas/core/resample.py
+++ b/pandas/core/resample.py
@@ -1700,8 +1700,8 @@ def _get_period_range_edges(first, last, offset, closed="left", base=0):
         first, last, offset, closed=closed, base=base
     )
 
-    first = (first + adjust_first * offset).to_period(offset)
-    last = (last - adjust_last * offset).to_period(offset)
+    first = (first + int(adjust_first) * offset).to_period(offset)
+    last = (last - int(adjust_last) * offset).to_period(offset)
     return first, last
 
 
diff --git a/pandas/tests/tslibs/test_conversion.py b/pandas/tests/tslibs/test_conversion.py
index d0066988faec7..fd8c9df026674 100644
--- a/pandas/tests/tslibs/test_conversion.py
+++ b/pandas/tests/tslibs/test_conversion.py
@@ -12,7 +12,7 @@
 
 def _compare_utc_to_local(tz_didx):
     def f(x):
-        return conversion.tz_convert_single(x, UTC, tz_didx.tz)
+        return tzconversion.tz_convert_single(x, UTC, tz_didx.tz)
 
     result = tzconversion.tz_convert(tz_didx.asi8, UTC, tz_didx.tz)
     expected = np.vectorize(f)(tz_didx.asi8)
@@ -22,7 +22,7 @@ def f(x):
 
 def _compare_local_to_utc(tz_didx, utc_didx):
     def f(x):
-        return conversion.tz_convert_single(x, tz_didx.tz, UTC)
+        return tzconversion.tz_convert_single(x, tz_didx.tz, UTC)
 
     result = tzconversion.tz_convert(utc_didx.asi8, tz_didx.tz, UTC)
     expected = np.vectorize(f)(utc_didx.asi8)