13517 has 4 divisors (see below), whose sum is σ = 15456. Its totient is φ = 11580.

The previous prime is 13513. The next prime is 13523. The reversal of 13517 is 71531.

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: 71531 = 233 ⋅307.

It is a cyclic number.

It is not a de Polignac number, because 13517 - 2² = 13513 is a prime.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13495 and 13504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13513) 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, 959 + ... + 972.

It is an arithmetic number, because the mean of its divisors is an integer number (3864).

2¹³⁵¹⁷ is an apocalyptic number.

It is an amenable number.

13517 is a deficient number, since it is larger than the sum of its proper divisors (1939).

13517 is an equidigital number, since it uses as much as digits as its factorization.

13517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938.

The product of its digits is 105, while the sum is 17.

The square root of 13517 is about 116.2626337221. The cubic root of 13517 is about 23.8210063345.

The spelling of 13517 in words is "thirteen thousand, five hundred seventeen".