purposely vs on purpose

purposely and on purpose both are adverbs.

Word	Noun	Adjective	Verb	Adverb
purposely	No	No	No	Yes
on purpose	No	No	No	Yes

As adverbs, purposely and on purpose are synonyms defined as:

Other synonyms of purposely include advisedly, by choice, by design, deliberately, designedly, intentionally.

purposely (adverb)	on purpose (adverb)
with intention; in an intentional manner	with intention; in an intentional manner