83504 has 20 divisors (see below), whose sum is σ = 171864. Its totient is φ = 39168.

The previous prime is 83497. The next prime is 83537. The reversal of 83504 is 40538.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119 + ... + 425.

2⁸³⁵⁰⁴ 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 83504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85932).

83504 is an abundant number, since it is smaller than the sum of its proper divisors (88360).

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

83504 is a wasteful number, since it uses less digits than its factorization.

83504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 83504 is about 288.9705867385. The cubic root of 83504 is about 43.7088211172.

The spelling of 83504 in words is "eighty-three thousand, five hundred four".