86306 has 8 divisors (see below), whose sum is σ = 141264. Its totient is φ = 39220.

The previous prime is 86297. The next prime is 86311. The reversal of 86306 is 60368.

It is a sphenic number, since it is the product of 3 distinct primes.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86306.

It is an unprimeable number.

86306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1940 + ... + 1983.

It is an arithmetic number, because the mean of its divisors is an integer number (17658).

2⁸⁶³⁰⁶ is an apocalyptic number.

86306 is a deficient number, since it is larger than the sum of its proper divisors (54958).

86306 is a wasteful number, since it uses less digits than its factorization.

86306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 86306 is about 293.7788283726. The cubic root of 86306 is about 44.1923398067.

The spelling of 86306 in words is "eighty-six thousand, three hundred six".