86931 has 12 divisors (see below), whose sum is σ = 135408. Its totient is φ = 53424.

The previous prime is 86929. The next prime is 86939. The reversal of 86931 is 13968.

It is not a de Polignac number, because 86931 - 2¹ = 86929 is a prime.

It is a super-2 number, since 2×86931² = 15113997522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86895 and 86904.

It is not an unprimeable number, because it can be changed into a prime (86939) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (11284).

2⁸⁶⁹³¹ is an apocalyptic number.

86931 is a deficient number, since it is larger than the sum of its proper divisors (48477).

86931 is a wasteful number, since it uses less digits than its factorization.

86931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 759 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 86931 is about 294.8406349200. The cubic root of 86931 is about 44.2987588549.

It can be divided in two parts, 869 and 31, that added together give a square (900 = 30²).

The spelling of 86931 in words is "eighty-six thousand, nine hundred thirty-one".