312624217 has 2 divisors, whose sum is σ = 312624218. Its totient is φ = 312624216.

The previous prime is 312624199. The next prime is 312624227. The reversal of 312624217 is 712426213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203233536 + 109390681 = 14256^2 + 10459^2 .

It is an emirp because it is prime and its reverse (712426213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312624217 is a prime.

It is not a weakly prime, because it can be changed into another prime (312624227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156312108 + 156312109.

It is an arithmetic number, because the mean of its divisors is an integer number (156312109).

Almost surely, 2^312624217 is an apocalyptic number.

It is an amenable number.

312624217 is a deficient number, since it is larger than the sum of its proper divisors (1).

312624217 is an equidigital number, since it uses as much as digits as its factorization.

312624217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4032, while the sum is 28.

The square root of 312624217 is about 17681.1825679167. The cubic root of 312624217 is about 678.6943060548.

The spelling of 312624217 in words is "three hundred twelve million, six hundred twenty-four thousand, two hundred seventeen".