[2] Lobachevskij had already been photographed in precovery images dating back to the 1930s, providing it with a much larger observation arc.

It orbits the Sun in the central main-belt at a distance of 2.5–2.9 AU once every 4 years and 5 months (1,620 days).

[2] The official naming citation was published by the Minor Planet Center on 1 June 1975 (M.P.C.

[8] In September 2012, two rotational lightcurves were obtained in the S- and R-band at the Palomar Transient Factory in California.

[11] According to the survey carried out by NASA's Wide-field Infrared Survey Explorer with its subsequent NEOWISE mission, Lobachevskij measures between 10.769 and 10.919 kilometers in diameter, and its surface has an albedo between 0.3737 and 0.383, respectively,[5][4] while the Collaborative Asteroid Lightcurve Link assumes a lower albedo of 0.18 and calculates a diameter of 12.47 kilometers with an absolute magnitude of 12.0.