167922 has 24 divisors (see below), whose sum is σ = 383760. Its totient is φ = 52920.

The previous prime is 167917. The next prime is 167953. The reversal of 167922 is 229761.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 167922.

It is an unprimeable number.

167922 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97 + ... + 587.

It is an arithmetic number, because the mean of its divisors is an integer number (15990).

2¹⁶⁷⁹²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191880).

167922 is an abundant number, since it is smaller than the sum of its proper divisors (215838).

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

167922 is a wasteful number, since it uses less digits than its factorization.

167922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 515 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 167922 is about 409.7828693345. The cubic root of 167922 is about 55.1699426785.

It can be divided in two parts, 167 and 922, that added together give a square (1089 = 33²).

The spelling of 167922 in words is "one hundred sixty-seven thousand, nine hundred twenty-two".