diff --git a/include/fmt/format.h b/include/fmt/format.h
index a311fd9f9649..f52475869109 100644
--- a/include/fmt/format.h
+++ b/include/fmt/format.h
@@ -1387,8 +1387,8 @@ FMT_CONSTEXPR auto format_uint(Char* buffer, UInt value, int num_digits,
 }
 
 template <unsigned BASE_BITS, typename Char, typename It, typename UInt>
-inline auto format_uint(It out, UInt value, int num_digits, bool upper = false)
-    -> It {
+FMT_CONSTEXPR inline auto format_uint(It out, UInt value, int num_digits,
+                                      bool upper = false) -> It {
   if (auto ptr = to_pointer<Char>(out, to_unsigned(num_digits))) {
     format_uint<BASE_BITS>(ptr, value, num_digits, upper);
     return out;
diff --git a/test/compile-test.cc b/test/compile-test.cc
index f85d2d8d529e..b71e1c4c6279 100644
--- a/test/compile-test.cc
+++ b/test/compile-test.cc
@@ -182,6 +182,9 @@ TEST(compile_test, format_to) {
   end = fmt::format_to(buf, FMT_COMPILE("{:x}"), 42);
   *end = '\0';
   EXPECT_STREQ("2a", buf);
+  end = fmt::format_to(buf, FMT_COMPILE("{:s}"), "abc");
+  *end = '\0';
+  EXPECT_STREQ("abc", buf);
 }
 
 TEST(compile_test, format_to_n) {
@@ -193,12 +196,30 @@ TEST(compile_test, format_to_n) {
   res = fmt::format_to_n(buffer, buffer_size, FMT_COMPILE("{:x}"), 42);
   *res.out = '\0';
   EXPECT_STREQ("2a", buffer);
+  res = fmt::format_to_n(buffer, buffer_size, FMT_COMPILE("{:s}"), "abc");
+  *res.out = '\0';
+  EXPECT_STREQ("abc", buffer);
 }
 
 #  ifdef __cpp_lib_bit_cast
 TEST(compile_test, constexpr_formatted_size) {
   FMT_CONSTEXPR20 size_t size = fmt::formatted_size(FMT_COMPILE("{}"), 42);
   EXPECT_EQ(size, 2);
+  FMT_CONSTEXPR20 size_t hex_size =
+      fmt::formatted_size(FMT_COMPILE("{:x}"), 15);
+  EXPECT_EQ(hex_size, 1);
+  FMT_CONSTEXPR20 size_t binary_size =
+      fmt::formatted_size(FMT_COMPILE("{:b}"), 15);
+  EXPECT_EQ(binary_size, 4);
+  FMT_CONSTEXPR20 size_t padded_size =
+      fmt::formatted_size(FMT_COMPILE("{:*^6}"), 42);
+  EXPECT_EQ(padded_size, 6);
+  FMT_CONSTEXPR20 size_t float_size =
+      fmt::formatted_size(FMT_COMPILE("{:.3}"), 12.345);
+  EXPECT_EQ(float_size, 4);
+  FMT_CONSTEXPR20 size_t str_size =
+      fmt::formatted_size(FMT_COMPILE("{:s}"), "abc");
+  EXPECT_EQ(str_size, 3);
 }
 #  endif