Fait mathématique: 5324 is the number of binary cube-free words of length 20.
Culture générale: 5324 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Date historique: July 29th is the day in 1993 that the Israeli Supreme Court acquits alleged Nazi death camp guard John Demjanjuk of all charges and he is set free.