5317 has 4 divisors (see below), whose sum is σ = 5740. Its totient is φ = 4896.

The previous prime is 5309. The next prime is 5323. The reversal of 5317 is 7135.

5317 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 7135 = 5 ⋅1427.

It can be written as a sum of positive squares in 2 ways, for example, as 2916 + 2401 = 54^2 + 49^2 .

It is a cyclic number.

It is not a de Polignac number, because 5317 - 2³ = 5309 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5347) 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, 192 + ... + 217.

It is an arithmetic number, because the mean of its divisors is an integer number (1435).

2⁵³¹⁷ is an apocalyptic number.

It is an amenable number.

5317 is a deficient number, since it is larger than the sum of its proper divisors (423).

5317 is a wasteful number, since it uses less digits than its factorization.

5317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422.

The product of its digits is 105, while the sum is 16.

The square root of 5317 is about 72.9177618965. The cubic root of 5317 is about 17.4537554554.

The spelling of 5317 in words is "five thousand, three hundred seventeen".