87610825 has 12 divisors (see below), whose sum is σ = 109195020. Its totient is φ = 69728960.

The previous prime is 87610807. The next prime is 87610829. The reversal of 87610825 is 52801678.

It can be written as a sum of positive squares in 6 ways, for example, as 19927296 + 67683529 = 4464^2 + 8227^2 .

It is not a de Polignac number, because 87610825 - 2⁵ = 87610793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87610829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3970 + ... + 13819.

It is an arithmetic number, because the mean of its divisors is an integer number (9099585).

Almost surely, 2^87610825 is an apocalyptic number.

It is an amenable number.

87610825 is a deficient number, since it is larger than the sum of its proper divisors (21584195).

87610825 is a wasteful number, since it uses less digits than its factorization.

87610825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17996 (or 17991 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 87610825 is about 9360.0654378054. The cubic root of 87610825 is about 444.1393541015.

The spelling of 87610825 in words is "eighty-seven million, six hundred ten thousand, eight hundred twenty-five".