83922 has 16 divisors (see below), whose sum is σ = 171072. Its totient is φ = 27440.

The previous prime is 83921. The next prime is 83933. The reversal of 83922 is 22938.

It is a junction number, because it is equal to n+sod(n) for n = 83892 and 83901.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83922.

It is not an unprimeable number, because it can be changed into a prime (83921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (10692).

2⁸³⁹²² is an apocalyptic number.

83922 is an abundant number, since it is smaller than the sum of its proper divisors (87150).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85536).

83922 is a wasteful number, since it uses less digits than its factorization.

83922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273.

The product of its digits is 864, while the sum is 24.

The square root of 83922 is about 289.6929408874. The cubic root of 83922 is about 43.7816315464.

It can be divided in two parts, 839 and 22, that added together give a triangular number (861 = T₄₁).

The spelling of 83922 in words is "eighty-three thousand, nine hundred twenty-two".