85316 has 24 divisors (see below), whose sum is σ = 186816. Its totient is φ = 33120.

The previous prime is 85313. The next prime is 85331. The reversal of 85316 is 61358.

85316 = T₃ + T₄ + ... + T₇₉.

It is a junction number, because it is equal to n+sod(n) for n = 85291 and 85300.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85316.

It is not an unprimeable number, because it can be changed into a prime (85313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170 + ... + 446.

It is an arithmetic number, because the mean of its divisors is an integer number (7784).

2⁸⁵³¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93408).

85316 is an abundant number, since it is smaller than the sum of its proper divisors (101500).

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

85316 is a wasteful number, since it uses less digits than its factorization.

85316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 297 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 85316 is about 292.0890275241. The cubic root of 85316 is about 44.0227155435.

The spelling of 85316 in words is "eighty-five thousand, three hundred sixteen".