582 = 2 x 3 x 97.
582 is the number of antisymmetric relations on a five-element set.
582 is a divisor of 613 - 1.
582 is 210120 in base 3 and 21012 in base 4.
582 is the sum of eight consecutive primes: 582 = 59 + 61 + 67 + 71 + 73 + 79 + 83 + 89.
The Rotax 582 is an engine designed for ultralight aircraft.
Source: What's Special About This Number?
