diff --git a/pandas/core/dtypes/dtypes.py b/pandas/core/dtypes/dtypes.py
index 5d3d5a1a6b344..70575a97b9aff 100644
--- a/pandas/core/dtypes/dtypes.py
+++ b/pandas/core/dtypes/dtypes.py
@@ -2046,6 +2046,15 @@ def __init__(self, pyarrow_dtype: pa.DataType) -> None:
     def __repr__(self) -> str:
         return self.name
 
+    def __hash__(self) -> int:
+        # make myself hashable
+        return hash(str(self))
+
+    def __eq__(self, other: Any) -> bool:
+        if not isinstance(other, type(self)):
+            return super().__eq__(other)
+        return self.pyarrow_dtype == other.pyarrow_dtype
+
     @property
     def type(self):
         """