85556 has 12 divisors (see below), whose sum is σ = 152292. Its totient is φ = 42048.

The previous prime is 85549. The next prime is 85571. The reversal of 85556 is 65558.

It can be written as a sum of positive squares in 2 ways, for example, as 67600 + 17956 = 260^2 + 134^2 .

It is a congruent number.

It is an unprimeable number.

85556 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, 146 + ... + 438.

It is an arithmetic number, because the mean of its divisors is an integer number (12691).

2⁸⁵⁵⁵⁶ is an apocalyptic number.

It is a pronic number, being equal to 292×293.

It is an amenable number.

85556 is a deficient number, since it is larger than the sum of its proper divisors (66736).

85556 is a wasteful number, since it uses less digits than its factorization.

85556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its digits is 6000, while the sum is 29.

The square root of 85556 is about 292.4995726493. The cubic root of 85556 is about 44.0639565771.

The spelling of 85556 in words is "eighty-five thousand, five hundred fifty-six".