apathetic vs indifferent

apathetic and indifferent both are adjectives.

Word	Noun	Adjective	Verb	Adverb
apathetic	No	Yes	No	No
indifferent	No	Yes	No	No

As adjectives, apathetic and indifferent are synonyms defined as:

apathetic (adjective)	indifferent (adjective)
showing little or no emotion or animation	(usually followed by `to') unwilling or refusing to pay heed
marked by a lack of interest	characterized by a lack of partiality
	fairly poor to not very good
	neither too great nor too little
	being neither good nor bad
	showing no care or concern in attitude or action
	(often followed by `to') lacking importance; not mattering one way or the other
	marked by a lack of interest
	having only a limited ability to react chemically; chemically inactive
	marked by no especial liking or dislike or preference for one thing over another