87265625 has 16 divisors (see below), whose sum is σ = 109179408. Its totient is φ = 69750000.

The previous prime is 87265609. The next prime is 87265639. The reversal of 87265625 is 52656278.

It can be written as a sum of positive squares in 8 ways, for example, as 43811161 + 43454464 = 6619^2 + 6592^2 .

It is not a de Polignac number, because 87265625 - 2⁴ = 87265609 is a prime.

It is a Duffinian number.

Its product of digits (201600) is a multiple of the sum of its prime factors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77567 + ... + 78683.

It is an arithmetic number, because the mean of its divisors is an integer number (6823713).

Almost surely, 2^87265625 is an apocalyptic number.

It is an amenable number.

87265625 is a deficient number, since it is larger than the sum of its proper divisors (21913783).

87265625 is an frugal number, since it uses more digits than its factorization.

87265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1122 counting only the distinct ones).

The product of its digits is 201600, while the sum is 41.

The square root of 87265625 is about 9341.6071957667. The cubic root of 87265625 is about 443.5552607128. Note that the first 3 decimals are identical.

The spelling of 87265625 in words is "eighty-seven million, two hundred sixty-five thousand, six hundred twenty-five".