87292125 has 48 divisors (see below), whose sum is σ = 162499584. Its totient is φ = 45036000.

The previous prime is 87292109. The next prime is 87292133. The reversal of 87292125 is 52129278.

It is not a de Polignac number, because 87292125 - 2⁴ = 87292109 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 87292125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33624 + ... + 36126.

It is an arithmetic number, because the mean of its divisors is an integer number (3385408).

Almost surely, 2^87292125 is an apocalyptic number.

It is an amenable number.

87292125 is a deficient number, since it is larger than the sum of its proper divisors (75207459).

87292125 is a wasteful number, since it uses less digits than its factorization.

87292125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2542 counting only the distinct ones).

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

The square root of 87292125 is about 9343.0254735819. The cubic root of 87292125 is about 443.6001543916.

The spelling of 87292125 in words is "eighty-seven million, two hundred ninety-two thousand, one hundred twenty-five".