 847 Agnia is the namesake of the Agnia family of asteroids that share similar orbital elements and physical properties.The members of this family, including 847 Agnia, most likely formed from the breakup of a basalt object, which in turn was spawned from a larger parent body that had previously undergone igneous differentiation.Other members of this family include 1020 Arcadia, 1228 Scabiosa, 2401 Aehlita, and 3395 Jitka

Photometric observations of this asteroid collected during 2004–2005 show a rotation period of 14.827 ± 0.001 hours with a brightness variation of 0.45 ± 0.03 magnitude.