86625 has 48 divisors (see below), whose sum is σ = 194688. Its totient is φ = 36000.

The previous prime is 86599. The next prime is 86627. The reversal of 86625 is 52668.

It is not a de Polignac number, because 86625 - 2⁶ = 86561 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86625.

It is not an unprimeable number, because it can be changed into a prime (86627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7870 + ... + 7880.

It is an arithmetic number, because the mean of its divisors is an integer number (4056).

2⁸⁶⁶²⁵ is an apocalyptic number.

It is an amenable number.

86625 is an abundant number, since it is smaller than the sum of its proper divisors (108063).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97344).

86625 is a wasteful number, since it uses less digits than its factorization.

86625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 26 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 86625 is about 294.3212530552. The cubic root of 86625 is about 44.2467200480.

The spelling of 86625 in words is "eighty-six thousand, six hundred twenty-five".