85188 has 24 divisors (see below), whose sum is σ = 206080. Its totient is φ = 27360.

The previous prime is 85159. The next prime is 85193. The reversal of 85188 is 88158.

It is an unprimeable number.

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, 258 + ... + 486.

2⁸⁵¹⁸⁸ is an apocalyptic number.

It is an amenable number.

85188 is an abundant number, since it is smaller than the sum of its proper divisors (120892).

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 (103040).

85188 is a wasteful number, since it uses less digits than its factorization.

85188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 265 counting only the distinct ones).

The product of its digits is 2560, while the sum is 30.

The square root of 85188 is about 291.8698340014. The cubic root of 85188 is about 44.0006886945. Note that the first 3 decimals are identical.

Subtracting from 85188 its sum of digits (30), we obtain a palindrome (85158).

Subtracting from 85188 its product of digits (2560), we obtain a palindrome (82628).

It can be divided in two parts, 851 and 88, that added together give a palindrome (939).

The spelling of 85188 in words is "eighty-five thousand, one hundred eighty-eight".