173922 has 32 divisors (see below), whose sum is σ = 411264. Its totient is φ = 48000.

The previous prime is 173917. The next prime is 173923. The reversal of 173922 is 229371.

173922 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 173892 and 173901.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 173922.

It is not an unprimeable number, because it can be changed into a prime (173923) by changing a digit.

173922 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1672 + ... + 1772.

It is an arithmetic number, because the mean of its divisors is an integer number (12852).

2¹⁷³⁹²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 173922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632).

173922 is an abundant number, since it is smaller than the sum of its proper divisors (237342).

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

173922 is a wasteful number, since it uses less digits than its factorization.

173922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154.

The product of its digits is 756, while the sum is 24.

The square root of 173922 is about 417.0395664682. The cubic root of 173922 is about 55.8193583994.

Subtracting from 173922 its product of digits (756), we obtain a triangular number (173166 = T₅₈₈).

The spelling of 173922 in words is "one hundred seventy-three thousand, nine hundred twenty-two".