17868 has 12 divisors (see below), whose sum is σ = 41720. Its totient is φ = 5952.

The previous prime is 17863. The next prime is 17881. The reversal of 17868 is 86871.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 7⁵ + 8³ + 6² + 8³ .

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (17863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 733 + ... + 756.

2¹⁷⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

17868 is an abundant number, since it is smaller than the sum of its proper divisors (23852).

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 (20860).

17868 is a wasteful number, since it uses less digits than its factorization.

17868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1494 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 17868 is about 133.6712384921. The cubic root of 17868 is about 26.1431941362.

The spelling of 17868 in words is "seventeen thousand, eight hundred sixty-eight".