86507 has 8 divisors (see below), whose sum is σ = 94800. Its totient is φ = 78624.

The previous prime is 86501. The next prime is 86509. The reversal of 86507 is 70568.

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

It is a cyclic number.

It is not a de Polignac number, because 86507 - 2⁴ = 86491 is a prime.

It is a super-2 number, since 2×86507² = 14966922098, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86507.

It is not an unprimeable number, because it can be changed into a prime (86501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 473 + ... + 629.

It is an arithmetic number, because the mean of its divisors is an integer number (11850).

2⁸⁶⁵⁰⁷ is an apocalyptic number.

86507 is a deficient number, since it is larger than the sum of its proper divisors (8293).

86507 is a wasteful number, since it uses less digits than its factorization.

86507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 86507 is about 294.1207235133. The cubic root of 86507 is about 44.2266200558.

The spelling of 86507 in words is "eighty-six thousand, five hundred seven".