14517 has 6 divisors (see below), whose sum is σ = 20982. Its totient is φ = 9672.

The previous prime is 14503. The next prime is 14519. The reversal of 14517 is 71541.

It can be written as a sum of positive squares in only one way, i.e., 12996 + 1521 = 114^2 + 39^2 .

It is not a de Polignac number, because 14517 - 2⁷ = 14389 is a prime.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 14517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14519) 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, 798 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (3497).

2¹⁴⁵¹⁷ is an apocalyptic number.

It is an amenable number.

14517 is a deficient number, since it is larger than the sum of its proper divisors (6465).

14517 is a wasteful number, since it uses less digits than its factorization.

14517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1616 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 14517 is about 120.4865137681. The cubic root of 14517 is about 24.3945208516.

Adding to 14517 its sum of digits (18), we get a triangular number (14535 = T₁₇₀).

The spelling of 14517 in words is "fourteen thousand, five hundred seventeen".