83820 has 48 divisors (see below), whose sum is σ = 258048. Its totient is φ = 20160.

The previous prime is 83813. The next prime is 83833. The reversal of 83820 is 2838.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83820.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597 + ... + 723.

It is an arithmetic number, because the mean of its divisors is an integer number (5376).

2⁸³⁸²⁰ 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 83820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129024).

83820 is an abundant number, since it is smaller than the sum of its proper divisors (174228).

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

83820 is a wasteful number, since it uses less digits than its factorization.

83820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 83820 is about 289.5168388885. The cubic root of 83820 is about 43.7638867482.

Subtracting from 83820 its product of nonzero digits (384), we obtain a triangular number (83436 = T₄₀₈).

It can be divided in two parts, 838 and 20, that added together give a palindrome (858).

The spelling of 83820 in words is "eighty-three thousand, eight hundred twenty".