313517 has 2 divisors, whose sum is σ = 313518. Its totient is φ = 313516.

The previous prime is 313507. The next prime is 313543. The reversal of 313517 is 715313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 249001 + 64516 = 499^2 + 254^2 .

It is an emirp because it is prime and its reverse (715313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313517 - 2¹⁴ = 297133 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313517.

It is not a weakly prime, because it can be changed into another prime (313507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156758 + 156759.

It is an arithmetic number, because the mean of its divisors is an integer number (156759).

2³¹³⁵¹⁷ is an apocalyptic number.

It is an amenable number.

313517 is a deficient number, since it is larger than the sum of its proper divisors (1).

313517 is an equidigital number, since it uses as much as digits as its factorization.

313517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 315, while the sum is 20.

The square root of 313517 is about 559.9258879530. The cubic root of 313517 is about 67.9339757071.

The spelling of 313517 in words is "three hundred thirteen thousand, five hundred seventeen".