1. The property of being of dubious veracity; of questionable accuracy or truthfulness
   "Not sure of the relative apocryphalness of this story, but I've always heard that the Chevrolet Nova didn't sell too well in Latin America because ‘no va’ in Spanish means ‘it does not go’"
    
2. The property of being of doubtful authenticity, of lacking authority, or of not being regarded as canonical
   "The ultimate sources of these English-Celtic legends are of two kinds: (1) the old Greek-Roman mythology; (2) the Jewish-Christian Bible legends, of various degrees of apocryphalness"

Type of: falseness, falsity, property