Fait mathématique: 13705 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Culture générale: 13705 is an uninteresting number.
Date historique: July 9th is the day in 1922 that Johnny Weissmuller swims the 100 meters freestyle in 58.6 seconds breaking the world swimming record and the 'minute barrier'.