86564 has 24 divisors (see below), whose sum is σ = 171360. Its totient is φ = 38016.

The previous prime is 86561. The next prime is 86573. The reversal of 86564 is 46568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1259 + ... + 1325.

It is an arithmetic number, because the mean of its divisors is an integer number (7140).

2⁸⁶⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

86564 is a deficient number, since it is larger than the sum of its proper divisors (84796).

86564 is a wasteful number, since it uses less digits than its factorization.

86564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 86564 is about 294.2176065432. The cubic root of 86564 is about 44.2363316547.

It can be divided in two parts, 865 and 64, that added together give a palindrome (929).

The spelling of 86564 in words is "eighty-six thousand, five hundred sixty-four".