86317 has 16 divisors (see below), whose sum is σ = 115200. Its totient is φ = 62640.

The previous prime is 86311. The next prime is 86323. The reversal of 86317 is 71368.

It is an interprime number because it is at equal distance from previous prime (86311) and next prime (86323).

It is a cyclic number.

It is not a de Polignac number, because 86317 - 2¹⁵ = 53549 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 86291 and 86300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1434 + ... + 1492.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2⁸⁶³¹⁷ is an apocalyptic number.

It is an amenable number.

86317 is a deficient number, since it is larger than the sum of its proper divisors (28883).

86317 is a wasteful number, since it uses less digits than its factorization.

86317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96.

The product of its digits is 1008, while the sum is 25.

The square root of 86317 is about 293.7975493431. The cubic root of 86317 is about 44.1942172161.

The spelling of 86317 in words is "eighty-six thousand, three hundred seventeen".