Multipling 82944 by its product of digits (2304), we get a 6-th power (191102976 = 246).
82944 divided by its product of digits (2304) gives a triangular number (36 = T8).
The square root of 82944 is 288.
It is a Jordan-Polya number, since it can be written as (4!)3 ⋅ 3!.
82944 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.
It is an ABA number since it can be written as A⋅BA, here for A=4, B=12.
It is a Duffinian number.
It is a nialpdrome in base 12.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82944.
It is an unprimeable number.
82944 is a Friedman number, since it can be written as (9*8)^2*4*4, using all its digits and the basic arithmetic operations.
282944 is an apocalyptic number.
82944 is the 288-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 82944
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
82944 is an equidigital number, since it uses as much as digits as its factorization.
82944 is an odious number, because the sum of its binary digits is odd.
The cubic root of 82944 is about 43.6108942280.
The spelling of 82944 in words is "eighty-two thousand, nine hundred forty-four".