85508 has 6 divisors (see below), whose sum is σ = 149646. Its totient is φ = 42752.

The previous prime is 85487. The next prime is 85513. The reversal of 85508 is 80558.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 31684 = 232^2 + 178^2 .

It is an unprimeable number.

85508 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 as a sum of consecutive naturals, namely, 10685 + ... + 10692.

It is an arithmetic number, because the mean of its divisors is an integer number (24941).

2⁸⁵⁵⁰⁸ is an apocalyptic number.

It is an amenable number.

85508 is a deficient number, since it is larger than the sum of its proper divisors (64138).

85508 is a wasteful number, since it uses less digits than its factorization.

85508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21381 (or 21379 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 85508 is about 292.4175097357. The cubic root of 85508 is about 44.0557145462.

Subtracting from 85508 its reverse (80558), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 8550 and 8, that added together give a palindrome (8558).

The spelling of 85508 in words is "eighty-five thousand, five hundred eight".