85564 has 6 divisors (see below), whose sum is σ = 149744. Its totient is φ = 42780.

The previous prime is 85549. The next prime is 85571. The reversal of 85564 is 46558.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10692 + ... + 10699.

2⁸⁵⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

85564 is a deficient number, since it is larger than the sum of its proper divisors (64180).

85564 is a wasteful number, since it uses less digits than its factorization.

85564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21395 (or 21393 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 85564 is about 292.5132475633. The cubic root of 85564 is about 44.0653299492.

It can be divided in two parts, 855 and 64, that added together give a palindrome (919).

The spelling of 85564 in words is "eighty-five thousand, five hundred sixty-four".