13917 has 4 divisors (see below), whose sum is σ = 18560. Its totient is φ = 9276.

The previous prime is 13913. The next prime is 13921. The reversal of 13917 is 71931.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 71931 = 3 ⋅23977.

It is an interprime number because it is at equal distance from previous prime (13913) and next prime (13921).

It is not a de Polignac number, because 13917 - 2² = 13913 is a prime.

It is an Ulam number.

It is a D-number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13893 and 13902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2317 + ... + 2322.

It is an arithmetic number, because the mean of its divisors is an integer number (4640).

2¹³⁹¹⁷ is an apocalyptic number.

It is an amenable number.

13917 is a deficient number, since it is larger than the sum of its proper divisors (4643).

13917 is an equidigital number, since it uses as much as digits as its factorization.

13917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642.

The product of its digits is 189, while the sum is 21.

The square root of 13917 is about 117.9703352542. The cubic root of 13917 is about 24.0536992046.

The spelling of 13917 in words is "thirteen thousand, nine hundred seventeen".