OK, so, is Oddness a theme?

Or is there some other name for the quality of a person, place, thing or piece of art (including literature) that has that very special stamp of the divine recognizable universally to believers.  I say "person" because there are people who have this imprint--the saints, for example.  Many of the saints were encountered as "different" during their earthly lives--sometimes bearing a stamp of "be perfect as your heavenly father is perfect," and at other times bearing a mark or seal of genuine strangeness or eccentricity.  One would need to pursue testimonies along this line.