83500 has 24 divisors (see below), whose sum is σ = 183456. Its totient is φ = 33200.

The previous prime is 83497. The next prime is 83537. The reversal of 83500 is 538.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 417 + ... + 583.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2⁸³⁵⁰⁰ 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 83500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728).

83500 is an abundant number, since it is smaller than the sum of its proper divisors (99956).

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

83500 is a wasteful number, since it uses less digits than its factorization.

83500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 83500 is about 288.9636655360. The cubic root of 83500 is about 43.7081231943.

The spelling of 83500 in words is "eighty-three thousand, five hundred".