312322349 has 2 divisors, whose sum is σ = 312322350. Its totient is φ = 312322348.

The previous prime is 312322333. The next prime is 312322363. The reversal of 312322349 is 943223213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222546724 + 89775625 = 14918^2 + 9475^2 .

It is a cyclic number.

It is not a de Polignac number, because 312322349 - 2⁴ = 312322333 is a prime.

It is equal to p_16883111 and since 312322349 and 16883111 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312322319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156161174 + 156161175.

It is an arithmetic number, because the mean of its divisors is an integer number (156161175).

Almost surely, 2^312322349 is an apocalyptic number.

It is an amenable number.

312322349 is a deficient number, since it is larger than the sum of its proper divisors (1).

312322349 is an equidigital number, since it uses as much as digits as its factorization.

312322349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 29.

The square root of 312322349 is about 17672.6440862707. The cubic root of 312322349 is about 678.4757880392.

The spelling of 312322349 in words is "three hundred twelve million, three hundred twenty-two thousand, three hundred forty-nine".