317313 has 6 divisors (see below), whose sum is σ = 458354. Its totient is φ = 211536.

The previous prime is 317279. The next prime is 317321. The reversal of 317313 is 313713.

317313 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 178929 + 138384 = 423^2 + 372^2 .

It is not a de Polignac number, because 317313 - 2⁹ = 316801 is a prime.

It is a Duffinian number.

317313 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 317313.

It is not an unprimeable number, because it can be changed into a prime (317323) 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, 17620 + ... + 17637.

2³¹⁷³¹³ is an apocalyptic number.

It is an amenable number.

317313 is a deficient number, since it is larger than the sum of its proper divisors (141041).

317313 is a wasteful number, since it uses less digits than its factorization.

317313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35263 (or 35260 counting only the distinct ones).

The product of its digits is 189, while the sum is 18.

The square root of 317313 is about 563.3054233717. The cubic root of 317313 is about 68.2070534467.

Subtracting from 317313 its reverse (313713), we obtain a square (3600 = 60²).

It can be divided in two parts, 317 and 313, that added together give a triangular number (630 = T₃₅).

The spelling of 317313 in words is "three hundred seventeen thousand, three hundred thirteen".