contrariwise vs on the contrary

contrariwise and on the contrary both are adverbs.

Word	Noun	Adjective	Verb	Adverb
contrariwise	No	No	No	Yes
on the contrary	No	No	No	Yes

As adverbs, contrariwise and on the contrary are synonyms defined as:

Other synonyms of contrariwise include contrarily, to the contrary.

contrariwise (adverb)	on the contrary (adverb)
contrary to expectations	contrary to expectations
with the order reversed
in a contrary disobedient manner