85365258 has 48 divisors (see below), whose sum is σ = 193767168. Its totient is φ = 25027200.

The previous prime is 85365221. The next prime is 85365307. The reversal of 85365258 is 85256358.

Its product of digits (288000) is a multiple of the sum of its prime divisors (3840).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20610 + ... + 24402.

It is an arithmetic number, because the mean of its divisors is an integer number (4036816).

Almost surely, 2^85365258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85365258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96883584).

85365258 is an abundant number, since it is smaller than the sum of its proper divisors (108401910).

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

85365258 is a wasteful number, since it uses less digits than its factorization.

85365258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851 (or 3840 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The square root of 85365258 is about 9239.3321187194. The cubic root of 85365258 is about 440.3118622401.

Subtracting from 85365258 its reverse (85256358), we obtain a square (108900 = 330²).

The spelling of 85365258 in words is "eighty-five million, three hundred sixty-five thousand, two hundred fifty-eight".