86564625 has 64 divisors (see below), whose sum is σ = 168230400. Its totient is φ = 39513600.

The previous prime is 86564591. The next prime is 86564689. The reversal of 86564625 is 52646568.

It is not a de Polignac number, because 86564625 - 2¹⁹ = 86040337 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128289 + ... + 128961.

It is an arithmetic number, because the mean of its divisors is an integer number (2628600).

Almost surely, 2^86564625 is an apocalyptic number.

It is an amenable number.

86564625 is a deficient number, since it is larger than the sum of its proper divisors (81665775).

86564625 is an equidigital number, since it uses as much as digits as its factorization.

86564625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 688 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 86564625 is about 9304.0112317215. The cubic root of 86564625 is about 442.3643811787.

The spelling of 86564625 in words is "eighty-six million, five hundred sixty-four thousand, six hundred twenty-five".