17992 has 16 divisors (see below), whose sum is σ = 36540. Its totient is φ = 8256.

The previous prime is 17989. The next prime is 18013. The reversal of 17992 is 29971.

It can be written as a sum of positive squares in 2 ways, for example, as 17956 + 36 = 134^2 + 6^2 .

It is a magnanimous number.

It is an Ulam number.

It is a plaindrome in base 11.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 17992.

It is an unprimeable number.

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, 18 + ... + 190.

2¹⁷⁹⁹² 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 17992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18270).

17992 is an abundant number, since it is smaller than the sum of its proper divisors (18548).

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

17992 is a wasteful number, since it uses less digits than its factorization.

17992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 188 counting only the distinct ones).

The product of its digits is 1134, while the sum is 28.

The square root of 17992 is about 134.1342610969. The cubic root of 17992 is about 26.2035307869.

The spelling of 17992 in words is "seventeen thousand, nine hundred ninety-two".