82792125 has 160 divisors (see below), whose sum is σ = 180756576. Its totient is φ = 37324800.

The previous prime is 82792117. The next prime is 82792141. The reversal of 82792125 is 52129728.

It can be written as a sum of positive squares in 16 ways, for example, as 44116164 + 38675961 = 6642^2 + 6219^2 .

It is not a de Polignac number, because 82792125 - 2³ = 82792117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82792125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2237607 + ... + 2237643.

Almost surely, 2^82792125 is an apocalyptic number.

82792125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

82792125 is an abundant number, since it is smaller than the sum of its proper divisors (97964451).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82792125 is a wasteful number, since it uses less digits than its factorization.

82792125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 82792125 is about 9099.0178041369. The cubic root of 82792125 is about 435.8425998767.

It can be divided in two parts, 8279 and 2125, that added together give a square (10404 = 102²).

The spelling of 82792125 in words is "eighty-two million, seven hundred ninety-two thousand, one hundred twenty-five".