85116 has 24 divisors (see below), whose sum is σ = 204624. Its totient is φ = 27520.

The previous prime is 85109. The next prime is 85121. The reversal of 85116 is 61158.

85116 = 24² + 25² + ... + 64².

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85092 and 85101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 406 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (8526).

2⁸⁵¹¹⁶ is an apocalyptic number.

It is an amenable number.

85116 is an abundant number, since it is smaller than the sum of its proper divisors (119508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102312).

85116 is a wasteful number, since it uses less digits than its factorization.

85116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 219 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 85116 is about 291.7464652742. The cubic root of 85116 is about 43.9882888943.

The spelling of 85116 in words is "eighty-five thousand, one hundred sixteen".