312304319 has 2 divisors, whose sum is σ = 312304320. Its totient is φ = 312304318.

The previous prime is 312304259. The next prime is 312304337. The reversal of 312304319 is 913403213.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (913403213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312304319 - 2²⁰ = 311255743 is a prime.

It is a super-2 number, since 2×312304319² = 195067975332107522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312304379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156152159 + 156152160.

It is an arithmetic number, because the mean of its divisors is an integer number (156152160).

Almost surely, 2^312304319 is an apocalyptic number.

312304319 is a deficient number, since it is larger than the sum of its proper divisors (1).

312304319 is an equidigital number, since it uses as much as digits as its factorization.

312304319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 312304319 is about 17672.1339684827. The cubic root of 312304319 is about 678.4627319196.

The spelling of 312304319 in words is "three hundred twelve million, three hundred four thousand, three hundred nineteen".