86516 has 12 divisors (see below), whose sum is σ = 155232. Its totient is φ = 42168.

The previous prime is 86509. The next prime is 86531. The reversal of 86516 is 61568.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

86516 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, 80 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (12936).

2⁸⁶⁵¹⁶ is an apocalyptic number.

86516 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

86516 is a deficient number, since it is larger than the sum of its proper divisors (68716).

86516 is a wasteful number, since it uses less digits than its factorization.

86516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 548 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 86516 is about 294.1360229554. The cubic root of 86516 is about 44.2281537497.

The spelling of 86516 in words is "eighty-six thousand, five hundred sixteen".