82792 has 16 divisors (see below), whose sum is σ = 158400. Its totient is φ = 40560.

The previous prime is 82787. The next prime is 82793. The reversal of 82792 is 29728.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 82792.

It is not an unprimeable number, because it can be changed into a prime (82793) by changing a digit.

82792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 567 + ... + 697.

It is an arithmetic number, because the mean of its divisors is an integer number (9900).

2⁸²⁷⁹² is an apocalyptic number.

It is an amenable number.

82792 is a deficient number, since it is larger than the sum of its proper divisors (75608).

82792 is a wasteful number, since it uses less digits than its factorization.

82792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 82792 is about 287.7359901020. The cubic root of 82792 is about 43.5842380531.

It can be divided in two parts, 8279 and 2, that added together give a square (8281 = 91²).

The spelling of 82792 in words is "eighty-two thousand, seven hundred ninety-two".