85184 has 28 divisors (see below), whose sum is σ = 185928. Its totient is φ = 38720.

The previous prime is 85159. The next prime is 85193. The reversal of 85184 is 48158.

The cubic root of 85184 is 44.

It is a perfect power (a cube), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7739 + ... + 7749.

2⁸⁵¹⁸⁴ 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 85184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92964).

85184 is an abundant number, since it is smaller than the sum of its proper divisors (100744).

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

85184 is an equidigital number, since it uses as much as digits as its factorization.

85184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 13 counting only the distinct ones).

The product of its digits is 1280, while the sum is 26.

The square root of 85184 is about 291.8629815513.

Subtracting from 85184 its sum of digits (26), we obtain a palindrome (85158).

The spelling of 85184 in words is "eighty-five thousand, one hundred eighty-four".