17988 has 12 divisors (see below), whose sum is σ = 42000. Its totient is φ = 5992.

The previous prime is 17987. The next prime is 17989. The reversal of 17988 is 88971.

17988 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (17987) and next prime (17989).

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (17981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 738 + ... + 761.

It is an arithmetic number, because the mean of its divisors is an integer number (3500).

2¹⁷⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

17988 is an abundant number, since it is smaller than the sum of its proper divisors (24012).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21000).

17988 is a wasteful number, since it uses less digits than its factorization.

17988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1504 counting only the distinct ones).

The product of its digits is 4032, while the sum is 33.

The square root of 17988 is about 134.1193498344. The cubic root of 17988 is about 26.2015887777.

Subtracting from 17988 its sum of digits (33), we obtain a triangular number (17955 = T₁₈₉).

The spelling of 17988 in words is "seventeen thousand, nine hundred eighty-eight".