37th vs thirty-seventh

37th and thirty-seventh both are adjectives.

Word	Noun	Adjective	Verb	Adverb
37th	No	Yes	No	No
thirty-seventh	No	Yes	No	No

As adjectives, 37th and thirty-seventh are synonyms defined as:

37th and thirty-seventh: the ordinal number of thirty-seven in counting order

37th (adjective)	thirty-seventh (adjective)
the ordinal number of thirty-seven in counting order	the ordinal number of thirty-seven in counting order