85524 has 12 divisors (see below), whose sum is σ = 199584. Its totient is φ = 28504.

The previous prime is 85523. The next prime is 85531. The reversal of 85524 is 42558.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 85494 and 85503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85523) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3552 + ... + 3575.

It is an arithmetic number, because the mean of its divisors is an integer number (16632).

2⁸⁵⁵²⁴ is an apocalyptic number.

It is an amenable number.

85524 is an abundant number, since it is smaller than the sum of its proper divisors (114060).

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 (99792).

85524 is a wasteful number, since it uses less digits than its factorization.

85524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7134 (or 7132 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 85524 is about 292.4448665988. Note that the first 3 decimals coincide. The cubic root of 85524 is about 44.0584622325.

The spelling of 85524 in words is "eighty-five thousand, five hundred twenty-four".