86956 has 6 divisors (see below), whose sum is σ = 152180. Its totient is φ = 43476.

The previous prime is 86951. The next prime is 86959. The reversal of 86956 is 65968.

It is a super-2 number, since 2×86956² = 15122691872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10866 + ... + 10873.

2⁸⁶⁹⁵⁶ is an apocalyptic number.

86956 is the 187-th centered pentagonal number.

It is an amenable number.

86956 is a deficient number, since it is larger than the sum of its proper divisors (65224).

86956 is a wasteful number, since it uses less digits than its factorization.

86956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21743 (or 21741 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 86956 is about 294.8830276567. The cubic root of 86956 is about 44.3030049919.

The spelling of 86956 in words is "eighty-six thousand, nine hundred fifty-six".