312278137 has 2 divisors, whose sum is σ = 312278138. Its totient is φ = 312278136.

The previous prime is 312278123. The next prime is 312278147. The reversal of 312278137 is 731872213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 303421561 + 8856576 = 17419^2 + 2976^2 .

It is a cyclic number.

It is not a de Polignac number, because 312278137 - 2²⁷ = 178060409 is a prime.

It is not a weakly prime, because it can be changed into another prime (312278147) 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, 156139068 + 156139069.

It is an arithmetic number, because the mean of its divisors is an integer number (156139069).

Almost surely, 2^312278137 is an apocalyptic number.

It is an amenable number.

312278137 is a deficient number, since it is larger than the sum of its proper divisors (1).

312278137 is an equidigital number, since it uses as much as digits as its factorization.

312278137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14112, while the sum is 34.

The square root of 312278137 is about 17671.3931822027. The cubic root of 312278137 is about 678.4437717723.

The spelling of 312278137 in words is "three hundred twelve million, two hundred seventy-eight thousand, one hundred thirty-seven".