85916 has 12 divisors (see below), whose sum is σ = 153888. Its totient is φ = 41952.

The previous prime is 85909. The next prime is 85931. The reversal of 85916 is 61958.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

85916 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, 41 + ... + 416.

It is an arithmetic number, because the mean of its divisors is an integer number (12824).

2⁸⁵⁹¹⁶ is an apocalyptic number.

It is an amenable number.

85916 is a deficient number, since it is larger than the sum of its proper divisors (67972).

85916 is a wasteful number, since it uses less digits than its factorization.

85916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 506 counting only the distinct ones).

The product of its digits is 2160, while the sum is 29.

The square root of 85916 is about 293.1143121719. The cubic root of 85916 is about 44.1256737639.

It can be divided in two parts, 85 and 916, that added together give a palindrome (1001).

The spelling of 85916 in words is "eighty-five thousand, nine hundred sixteen".