309313 has 2 divisors, whose sum is σ = 309314. Its totient is φ = 309312.

The previous prime is 309311. The next prime is 309317. The reversal of 309313 is 313903.

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., 173889 + 135424 = 417^2 + 368^2 .

It is a cyclic number.

It is not a de Polignac number, because 309313 - 2¹ = 309311 is a prime.

Together with 309311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (309311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 154656 + 154657.

It is an arithmetic number, because the mean of its divisors is an integer number (154657).

2³⁰⁹³¹³ is an apocalyptic number.

It is an amenable number.

309313 is a deficient number, since it is larger than the sum of its proper divisors (1).

309313 is an equidigital number, since it uses as much as digits as its factorization.

309313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 309313 is about 556.1591498843. The cubic root of 309313 is about 67.6289624154.

The spelling of 309313 in words is "three hundred nine thousand, three hundred thirteen".