diff --git a/pandas/core/indexes/datetimelike.py b/pandas/core/indexes/datetimelike.py
index be81ff1c3fa52..5f24eb0cfaad6 100644
--- a/pandas/core/indexes/datetimelike.py
+++ b/pandas/core/indexes/datetimelike.py
@@ -82,6 +82,7 @@ class DatetimeIndexOpsMixin(NDArrayBackedExtensionIndex):
     Common ops mixin to support a unified interface datetimelike Index.
     """
 
+    _is_numeric_dtype = False
     _can_hold_strings = False
     _data: DatetimeArray | TimedeltaArray | PeriodArray
     freq: BaseOffset | None
@@ -608,6 +609,8 @@ class DatetimeTimedeltaMixin(DatetimeIndexOpsMixin):
     """
 
     _data: DatetimeArray | TimedeltaArray
+    _comparables = ["name", "freq"]
+    _attributes = ["name", "freq"]
 
     # Compat for frequency inference, see GH#23789
     _is_monotonic_increasing = Index.is_monotonic_increasing
diff --git a/pandas/core/indexes/datetimes.py b/pandas/core/indexes/datetimes.py
index 5f930e7ee09cd..c4329393bb895 100644
--- a/pandas/core/indexes/datetimes.py
+++ b/pandas/core/indexes/datetimes.py
@@ -256,11 +256,6 @@ class DatetimeIndex(DatetimeTimedeltaMixin):
     _engine_type = libindex.DatetimeEngine
     _supports_partial_string_indexing = True
 
-    _comparables = ["name", "freqstr"]
-    _attributes = ["name", "freq"]
-
-    _is_numeric_dtype = False
-
     _data: DatetimeArray
     inferred_freq: str | None
     tz: tzinfo | None
diff --git a/pandas/core/indexes/interval.py b/pandas/core/indexes/interval.py
index a682dad34c79d..894abb0fb1776 100644
--- a/pandas/core/indexes/interval.py
+++ b/pandas/core/indexes/interval.py
@@ -252,8 +252,6 @@ def func(self, other, sort=None):
 @inherit_names(["is_non_overlapping_monotonic", "closed"], IntervalArray, cache=True)
 class IntervalIndex(ExtensionIndex):
     _typ = "intervalindex"
-    _comparables = ["name"]
-    _attributes = ["name"]
 
     # annotate properties pinned via inherit_names
     closed: str
diff --git a/pandas/core/indexes/period.py b/pandas/core/indexes/period.py
index 266df655e326c..2600363bc28eb 100644
--- a/pandas/core/indexes/period.py
+++ b/pandas/core/indexes/period.py
@@ -158,9 +158,6 @@ class PeriodIndex(DatetimeIndexOpsMixin):
     _typ = "periodindex"
     _attributes = ["name"]
 
-    # define my properties & methods for delegation
-    _is_numeric_dtype = False
-
     _data: PeriodArray
     freq: BaseOffset
 
diff --git a/pandas/core/indexes/timedeltas.py b/pandas/core/indexes/timedeltas.py
index ec97fa1e05851..cb83a0bccc748 100644
--- a/pandas/core/indexes/timedeltas.py
+++ b/pandas/core/indexes/timedeltas.py
@@ -112,10 +112,6 @@ class TimedeltaIndex(DatetimeTimedeltaMixin):
     _data_cls = TimedeltaArray
     _engine_type = libindex.TimedeltaEngine
 
-    _comparables = ["name", "freq"]
-    _attributes = ["name", "freq"]
-    _is_numeric_dtype = False
-
     _data: TimedeltaArray
 
     # -------------------------------------------------------------------