The calculated distance (air line) between Paris 13e Arrondissement and Châteauroux is approximately 143 miles respectively 229 kilometers.
By car or train, the actual journey to Châteauroux is certainly longer, as only the direct route (as the crow flies) between Paris 13e Arrondissement and Châteauroux has been calculated here.
Air line (approximately)
229 kilometers
124 nautical miles