His father Hryhoriy Yakymovych Krychevsky was a county state doctor of Jewish descent who converted to Orthodox Christianity and married a Ukrainian woman, Praskovia Hryhorivna.

Among the students – Joseph Karakis, who studied from Krychevsky "Interior of residential and public buildings" as well as painting techniques.

Krychevsky was a collector and student of Ukrainian folk art, and promoted such handicrafts among common people.

From 1907 to 1910, Krychevsky designed sets and costumes for over 15 plays and operas including Mykhailo Starytsky's Bohdan Khmelnytsky and Bedřich Smetana's The Bartered Bride.

[6] On several projects Krychevsky worked along with another Ukrainian architect Petro Kostyrko who in 1960 did reconstruction of the former Poltava Governorate Administration building.