85185 has 16 divisors (see below), whose sum is σ = 151680. Its totient is φ = 45360.

The previous prime is 85159. The next prime is 85193. The reversal of 85185 is 58158.

It is a Cunningham number, because it is equal to 44³+1.

It is not a de Polignac number, because 85185 - 2⁶ = 85121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

85185 is a modest number, since divided by 185 gives 85 as remainder.

It is a Curzon number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 181 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (9480).

2⁸⁵¹⁸⁵ is an apocalyptic number.

It is an amenable number.

85185 is a deficient number, since it is larger than the sum of its proper divisors (66495).

85185 is a wasteful number, since it uses less digits than its factorization.

85185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 85185 is about 291.8646946789. The cubic root of 85185 is about 44.0001721756. Note that the first 3 decimals are identical.

Subtracting from 85185 its sum of digits (27), we obtain a palindrome (85158).

The spelling of 85185 in words is "eighty-five thousand, one hundred eighty-five".