312363209 has 2 divisors, whose sum is σ = 312363210. Its totient is φ = 312363208.

The previous prime is 312363199. The next prime is 312363229. The reversal of 312363209 is 902363213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199939600 + 112423609 = 14140^2 + 10603^2 .

It is a cyclic number.

It is not a de Polignac number, because 312363209 - 2¹⁶ = 312297673 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (312363229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156181604 + 156181605.

It is an arithmetic number, because the mean of its divisors is an integer number (156181605).

Almost surely, 2^312363209 is an apocalyptic number.

It is an amenable number.

312363209 is a deficient number, since it is larger than the sum of its proper divisors (1).

312363209 is an equidigital number, since it uses as much as digits as its factorization.

312363209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 312363209 is about 17673.8000724236. The cubic root of 312363209 is about 678.5053742578.

The spelling of 312363209 in words is "three hundred twelve million, three hundred sixty-three thousand, two hundred nine".