The calculated distance (air line) between Shatsk and Nizhniy Novgorod is approximately 183 miles respectively 294 kilometers.
By car or train, the actual journey to Nizhniy Novgorod is certainly longer, as only the direct route (as the crow flies) between Shatsk and Nizhniy Novgorod has been calculated here.
Air line (approximately)
294 kilometers
159 nautical miles