115624 has 16 divisors (see below), whose sum is σ = 220500. Its totient is φ = 56832.

The previous prime is 115613. The next prime is 115631. The reversal of 115624 is 426511.

It can be written as a sum of positive squares in 2 ways, for example, as 108900 + 6724 = 330^2 + 82^2 .

It is a super-3 number, since 3×115624³ = 4637300333071872, which contains 333 as substring.

It is an unprimeable number.

115624 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 702 + ... + 850.

2¹¹⁵⁶²⁴ is an apocalyptic number.

It is an amenable number.

115624 is a deficient number, since it is larger than the sum of its proper divisors (104876).

115624 is a wasteful number, since it uses less digits than its factorization.

115624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 248 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 115624 is about 340.0352922860. The cubic root of 115624 is about 48.7172385625.

It can be divided in two parts, 1 and 15624, that added together give a 6-th power (15625 = 5⁶).

The spelling of 115624 in words is "one hundred fifteen thousand, six hundred twenty-four".