173992 has 32 divisors (see below), whose sum is σ = 403200. Its totient is φ = 68544.

The previous prime is 173981. The next prime is 173993. The reversal of 173992 is 299371.

173992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (173993) 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, 609 + ... + 847.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2¹⁷³⁹⁹² 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 173992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

173992 is an abundant number, since it is smaller than the sum of its proper divisors (229208).

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

173992 is a wasteful number, since it uses less digits than its factorization.

173992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its digits is 3402, while the sum is 31.

The square root of 173992 is about 417.1234829160. The cubic root of 173992 is about 55.8268461065.

The spelling of 173992 in words is "one hundred seventy-three thousand, nine hundred ninety-two".