86556 has 12 divisors (see below), whose sum is σ = 201992. Its totient is φ = 28848.

The previous prime is 86539. The next prime is 86561. The reversal of 86556 is 65568.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×86556² = 14983882272, which contains 22 as substring.

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86556.

It is an unprimeable number.

86556 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 3595 + ... + 3618.

2⁸⁶⁵⁵⁶ is an apocalyptic number.

It is an amenable number.

86556 is an abundant number, since it is smaller than the sum of its proper divisors (115436).

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 (100996).

86556 is a wasteful number, since it uses less digits than its factorization.

86556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7220 (or 7218 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 86556 is about 294.2040108496. The cubic root of 86556 is about 44.2349688805.

The spelling of 86556 in words is "eighty-six thousand, five hundred fifty-six".