83800 has 24 divisors (see below), whose sum is σ = 195300. Its totient is φ = 33440.

The previous prime is 83791. The next prime is 83813. The reversal of 83800 is 838.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10 + ... + 409.

2⁸³⁸⁰⁰ 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 83800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97650).

83800 is an abundant number, since it is smaller than the sum of its proper divisors (111500).

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

83800 is a wasteful number, since it uses less digits than its factorization.

83800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 83800 is about 289.4822965226. The cubic root of 83800 is about 43.7604056881.

Multiplying 83800 by its reverse (838), we get a square (70224400 = 8380²).

83800 divided by its reverse (838) gives a square (100 = 10²).

The spelling of 83800 in words is "eighty-three thousand, eight hundred".