173988 has 36 divisors (see below), whose sum is σ = 458640. Its totient is φ = 57672.

The previous prime is 173981. The next prime is 173993. The reversal of 173988 is 889371.

173988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (173981) by changing a digit.

173988 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 11 ways as a sum of consecutive naturals, for example, 883 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (12740).

2¹⁷³⁹⁸⁸ is an apocalyptic number.

173988 is a gapful number since it is divisible by the number (18) 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 173988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229320).

173988 is an abundant number, since it is smaller than the sum of its proper divisors (284652).

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

173988 is a wasteful number, since it uses less digits than its factorization.

173988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 173988 is about 417.1186881452. The cubic root of 173988 is about 55.8264182916.

It can be divided in two parts, 17 and 3988, that added together give a triangular number (4005 = T₈₉).

The spelling of 173988 in words is "one hundred seventy-three thousand, nine hundred eighty-eight".