312093137 has 2 divisors, whose sum is σ = 312093138. Its totient is φ = 312093136.

The previous prime is 312093121. The next prime is 312093143. The reversal of 312093137 is 731390213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311734336 + 358801 = 17656^2 + 599^2 .

It is an emirp because it is prime and its reverse (731390213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312093137 - 2⁴ = 312093121 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312093037) 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, 156046568 + 156046569.

It is an arithmetic number, because the mean of its divisors is an integer number (156046569).

Almost surely, 2^312093137 is an apocalyptic number.

It is an amenable number.

312093137 is a deficient number, since it is larger than the sum of its proper divisors (1).

312093137 is an equidigital number, since it uses as much as digits as its factorization.

312093137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 29.

The square root of 312093137 is about 17666.1579580847. The cubic root of 312093137 is about 678.3097706193.

The spelling of 312093137 in words is "three hundred twelve million, ninety-three thousand, one hundred thirty-seven".