86316 has 12 divisors (see below), whose sum is σ = 201432. Its totient is φ = 28768.

The previous prime is 86311. The next prime is 86323. The reversal of 86316 is 61368.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86316.

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

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, 3585 + ... + 3608.

It is an arithmetic number, because the mean of its divisors is an integer number (16786).

2⁸⁶³¹⁶ is an apocalyptic number.

It is an amenable number.

86316 is an abundant number, since it is smaller than the sum of its proper divisors (115116).

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 (100716).

86316 is a wasteful number, since it uses less digits than its factorization.

86316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7200 (or 7198 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 86316 is about 293.7958474860. The cubic root of 86316 is about 44.1940465491.

The spelling of 86316 in words is "eighty-six thousand, three hundred sixteen".