166992 has 60 divisors (see below), whose sum is σ = 508896. Its totient is φ = 47040.

The previous prime is 166987. The next prime is 167009. The reversal of 166992 is 299661.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 166992.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2317 + ... + 2387.

2¹⁶⁶⁹⁹² is an apocalyptic number.

166992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254448).

166992 is an abundant number, since it is smaller than the sum of its proper divisors (341904).

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

166992 is a wasteful number, since it uses less digits than its factorization.

166992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 166992 is about 408.6465465411. The cubic root of 166992 is about 55.0679051080.

The spelling of 166992 in words is "one hundred sixty-six thousand, nine hundred ninety-two".