85182 has 8 divisors (see below), whose sum is σ = 170376. Its totient is φ = 28392.

The previous prime is 85159. The next prime is 85193. The reversal of 85182 is 28158.

It is a sphenic number, since it is the product of 3 distinct primes.

85182 is an admirable number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85182.

It is an unprimeable number.

85182 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, 7093 + ... + 7104.

It is an arithmetic number, because the mean of its divisors is an integer number (21297).

2⁸⁵¹⁸² is an apocalyptic number.

85182 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (85188).

85182 is a wasteful number, since it uses less digits than its factorization.

85182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14202.

The product of its digits is 640, while the sum is 24.

The square root of 85182 is about 291.8595552659. The cubic root of 85182 is about 43.9996556447. Note that the first 3 decimals are identical.

Subtracting from 85182 its sum of digits (24), we obtain a palindrome (85158).

The spelling of 85182 in words is "eighty-five thousand, one hundred eighty-two".