diff --git a/test/test_sympy_utils.py b/test/test_sympy_utils.py
index 81ed1126dcbb..06dd86711673 100644
--- a/test/test_sympy_utils.py
+++ b/test/test_sympy_utils.py
@@ -5,6 +5,7 @@ import itertools
 import math
 import sys
 from typing import Callable, List, Tuple, Type
+import pickle
 
 import sympy
 
@@ -30,6 +31,7 @@ from torch.utils._sympy.reference import (
 from torch.utils._sympy.singleton_int import SingletonInt
 from torch.utils._sympy.solve import INEQUALITY_TYPES, mirror_rel_op, try_solve
 from torch.utils._sympy.value_ranges import ValueRangeAnalysis, ValueRanges
+from torch.utils._sympy.functions import OpaqueUnaryFn_cos
 
 
 UNARY_OPS = [
@@ -811,6 +813,13 @@ class TestSympySolve(TestCase):
         self.assertEqual(simple_floordiv_gcd(x * y + x + y + 1, x + 1), 1)
 
 
+class TestSympyFunctions(TestCase):
+    def test_pickle(self):
+        x = OpaqueUnaryFn_cos(sympy.Symbol('a'))
+        r = pickle.loads(pickle.dumps(x))
+        self.assertEqual(x, r)
+
+
 class TestSingletonInt(TestCase):
     def test_basic(self):
         j1 = SingletonInt(1, coeff=1)
diff --git a/torch/utils/_sympy/functions.py b/torch/utils/_sympy/functions.py
index b369673d9213..480be602efa6 100644
--- a/torch/utils/_sympy/functions.py
+++ b/torch/utils/_sympy/functions.py
@@ -1202,7 +1202,9 @@ def make_opaque_unary_fn(name):
                 return getattr(sympy, name)(a)
             return None
 
-    OpaqueUnaryFn.__name__ = "OpaqueUnaryFn_" + name
+    nm = "OpaqueUnaryFn_" + name
+    OpaqueUnaryFn.__name__ = nm
+    OpaqueUnaryFn.__qualname__ = nm
 
     return OpaqueUnaryFn