82792564 has 24 divisors (see below), whose sum is σ = 150249960. Its totient is φ = 39871104.

The previous prime is 82792559. The next prime is 82792573. The reversal of 82792564 is 46529728.

It can be written as a sum of positive squares in 4 ways, for example, as 26091664 + 56700900 = 5108^2 + 7530^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82792564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75202 + ... + 76294.

It is an arithmetic number, because the mean of its divisors is an integer number (6260415).

Almost surely, 2^82792564 is an apocalyptic number.

It is an amenable number.

82792564 is a deficient number, since it is larger than the sum of its proper divisors (67457396).

82792564 is a wasteful number, since it uses less digits than its factorization.

82792564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1777 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 82792564 is about 9099.0419275878. The cubic root of 82792564 is about 435.8433702179.

The spelling of 82792564 in words is "eighty-two million, seven hundred ninety-two thousand, five hundred sixty-four".