319313 has 2 divisors, whose sum is σ = 319314. Its totient is φ = 319312.

The previous prime is 319289. The next prime is 319321. The reversal of 319313 is 313913.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165649 + 153664 = 407^2 + 392^2 .

It is a cyclic number.

It is not a de Polignac number, because 319313 - 2⁸ = 319057 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (319343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 159656 + 159657.

It is an arithmetic number, because the mean of its divisors is an integer number (159657).

2³¹⁹³¹³ is an apocalyptic number.

It is an amenable number.

319313 is a deficient number, since it is larger than the sum of its proper divisors (1).

319313 is an equidigital number, since it uses as much as digits as its factorization.

319313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 243, while the sum is 20.

The square root of 319313 is about 565.0778707400. The cubic root of 319313 is about 68.3500547353.

The spelling of 319313 in words is "three hundred nineteen thousand, three hundred thirteen".