17914 has 12 divisors (see below), whose sum is σ = 29646. Its totient is φ = 8112.

The previous prime is 17911. The next prime is 17921. The reversal of 17914 is 41971.

17914 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 3 ways, for example, as 11025 + 6889 = 105^2 + 83^2 .

It is a super-2 number, since 2×17914² = 641822792, which contains 22 as substring.

It is a d-powerful number, because it can be written as 1 + 7⁵ + 9² + 1 + 4⁵ .

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (17911) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 312 + ... + 364.

2¹⁷⁹¹⁴ is an apocalyptic number.

17914 is a deficient number, since it is larger than the sum of its proper divisors (11732).

17914 is a wasteful number, since it uses less digits than its factorization.

17914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 68 counting only the distinct ones).

The product of its digits is 252, while the sum is 22.

The square root of 17914 is about 133.8431918328. The cubic root of 17914 is about 26.1656095606.

The spelling of 17914 in words is "seventeen thousand, nine hundred fourteen".