312210137 has 2 divisors, whose sum is σ = 312210138. Its totient is φ = 312210136.

The previous prime is 312210113. The next prime is 312210163. The reversal of 312210137 is 731012213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 265820416 + 46389721 = 16304^2 + 6811^2 .

It is a cyclic number.

It is not a de Polignac number, because 312210137 - 2¹⁶ = 312144601 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312210637) 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, 156105068 + 156105069.

It is an arithmetic number, because the mean of its divisors is an integer number (156105069).

Almost surely, 2^312210137 is an apocalyptic number.

It is an amenable number.

312210137 is a deficient number, since it is larger than the sum of its proper divisors (1).

312210137 is an equidigital number, since it uses as much as digits as its factorization.

312210137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 312210137 is about 17669.4690638966. The cubic root of 312210137 is about 678.3945234473.

The spelling of 312210137 in words is "three hundred twelve million, two hundred ten thousand, one hundred thirty-seven".