83524 has 24 divisors (see below), whose sum is σ = 176960. Its totient is φ = 33696.

The previous prime is 83497. The next prime is 83537. The reversal of 83524 is 42538.

83524 is nontrivially palindromic in base 12.

83524 is an undulating number in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 83495 and 83504.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454 + ... + 610.

83524 is a Friedman number, since it can be written as (5^2-8)^4+3, using all its digits and the basic arithmetic operations.

2⁸³⁵²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88480).

83524 is an abundant number, since it is smaller than the sum of its proper divisors (93436).

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

83524 is a wasteful number, since it uses less digits than its factorization.

83524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 185 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 83524 is about 289.0051902648. The cubic root of 83524 is about 43.7123103978.

The spelling of 83524 in words is "eighty-three thousand, five hundred twenty-four".