2017313 has 2 divisors, whose sum is σ = 2017314. Its totient is φ = 2017312.

The previous prime is 2017289. The next prime is 2017319. The reversal of 2017313 is 3137102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1183744 + 833569 = 1088^2 + 913^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2017313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2017291 and 2017300.

It is not a weakly prime, because it can be changed into another prime (2017319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1008656 + 1008657.

It is an arithmetic number, because the mean of its divisors is an integer number (1008657).

2^2017313 is an apocalyptic number.

It is an amenable number.

2017313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2017313 is an equidigital number, since it uses as much as digits as its factorization.

2017313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 2017313 is about 1420.3214424911. The cubic root of 2017313 is about 126.3546112003.

The spelling of 2017313 in words is "two million, seventeen thousand, three hundred thirteen".