88625 has 8 divisors (see below), whose sum is σ = 110760. Its totient is φ = 70800.

The previous prime is 88609. The next prime is 88643. The reversal of 88625 is 52688.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14641 + 73984 = 121^2 + 272^2 .

It is not a de Polignac number, because 88625 - 2⁴ = 88609 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88625.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (13845).

2⁸⁸⁶²⁵ is an apocalyptic number.

It is an amenable number.

88625 is a deficient number, since it is larger than the sum of its proper divisors (22135).

88625 is an equidigital number, since it uses as much as digits as its factorization.

88625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 714 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 88625 is about 297.6995129321. The cubic root of 88625 is about 44.5846555833.

Subtracting from 88625 its reverse (52688), we obtain a cube (35937 = 33³).

The spelling of 88625 in words is "eighty-eight thousand, six hundred twenty-five".