86506 has 16 divisors (see below), whose sum is σ = 153216. Its totient is φ = 35856.

The previous prime is 86501. The next prime is 86509. The reversal of 86506 is 60568.

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, 435 + ... + 601.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2⁸⁶⁵⁰⁶ is an apocalyptic number.

86506 is a deficient number, since it is larger than the sum of its proper divisors (66710).

86506 is a wasteful number, since it uses less digits than its factorization.

86506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 86506 is about 294.1190235262. The cubic root of 86506 is about 44.2264496387.

The spelling of 86506 in words is "eighty-six thousand, five hundred six".