17968 has 10 divisors (see below), whose sum is σ = 34844. Its totient is φ = 8976.

The previous prime is 17959. The next prime is 17971. The reversal of 17968 is 86971.

It is a plaindrome in base 11.

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 as a sum of consecutive naturals, namely, 546 + ... + 577.

2¹⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

17968 is a deficient number, since it is larger than the sum of its proper divisors (16876).

17968 is a wasteful number, since it uses less digits than its factorization.

17968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1125 counting only the distinct ones).

The product of its digits is 3024, while the sum is 31.

The square root of 17968 is about 134.0447686409. The cubic root of 17968 is about 26.1918744105.

The spelling of 17968 in words is "seventeen thousand, nine hundred sixty-eight".