167992 has 32 divisors (see below), whose sum is σ = 362880. Its totient is φ = 72160.

The previous prime is 167987. The next prime is 168013. The reversal of 167992 is 299761.

It is a congruent number.

It is an unprimeable number.

167992 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 7 ways as a sum of consecutive naturals, for example, 1983 + ... + 2065.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2¹⁶⁷⁹⁹² 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 167992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

167992 is an abundant number, since it is smaller than the sum of its proper divisors (194888).

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

167992 is a wasteful number, since it uses less digits than its factorization.

167992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 119 counting only the distinct ones).

The product of its digits is 6804, while the sum is 34.

The square root of 167992 is about 409.8682715215. The cubic root of 167992 is about 55.1776076648.

Subtracting 167992 from its reverse (299761), we obtain a square (131769 = 363²).

It can be divided in two parts, 1679 and 92, that added together give a palindrome (1771).

The spelling of 167992 in words is "one hundred sixty-seven thousand, nine hundred ninety-two".