diff --git a/django/db/models/expressions.py b/django/db/models/expressions.py
index c23767d486..5484ca7f47 100644
--- a/django/db/models/expressions.py
+++ b/django/db/models/expressions.py
@@ -145,6 +145,11 @@ class F(ExpressionNode):
         super(F, self).__init__(None, None, False)
         self.name = name
 
+    def __deepcopy__(self, memodict):
+        obj = super(F, self).__deepcopy__(memodict)
+        obj.name = self.name
+        return obj
+
     def prepare(self, evaluator, query, allow_joins):
         return evaluator.prepare_leaf(self, query, allow_joins)
 
diff --git a/tests/expressions/tests.py b/tests/expressions/tests.py
index 320271b1dc..0430fd0358 100644
--- a/tests/expressions/tests.py
+++ b/tests/expressions/tests.py
@@ -1,5 +1,7 @@
 from __future__ import unicode_literals
 
+from copy import deepcopy
+
 from django.core.exceptions import FieldError
 from django.db.models import F
 from django.db import transaction
@@ -281,3 +283,11 @@ class ExpressionsTests(TestCase):
             company_ceo_set__num_employees=F('company_ceo_set__num_employees')
         )
         self.assertEqual(str(qs.query).count('JOIN'), 2)
+
+    def test_F_object_deepcopy(self):
+        """
+        Make sure F objects can be deepcopied (#23492)
+        """
+        f = F("foo")
+        g = deepcopy(f)
+        self.assertEqual(f.name, g.name)