87827625 has 64 divisors (see below), whose sum is σ = 165784320. Its totient is φ = 45864000.

The previous prime is 87827611. The next prime is 87827647. The reversal of 87827625 is 52672878.

It is not a de Polignac number, because 87827625 - 2⁴ = 87827609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178630 + ... + 179120.

It is an arithmetic number, because the mean of its divisors is an integer number (2590380).

Almost surely, 2^87827625 is an apocalyptic number.

It is an amenable number.

87827625 is a deficient number, since it is larger than the sum of its proper divisors (77956695).

87827625 is a wasteful number, since it uses less digits than its factorization.

87827625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 552 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 87827625 is about 9371.6393976721. The cubic root of 87827625 is about 444.5054051220.

The spelling of 87827625 in words is "eighty-seven million, eight hundred twenty-seven thousand, six hundred twenty-five".