312913241 has 2 divisors, whose sum is σ = 312913242. Its totient is φ = 312913240.

The previous prime is 312913213. The next prime is 312913253. The reversal of 312913241 is 142319213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310781641 + 2131600 = 17629^2 + 1460^2 .

It is an emirp because it is prime and its reverse (142319213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312913241 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312913241.

It is not a weakly prime, because it can be changed into another prime (312915241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156456620 + 156456621.

It is an arithmetic number, because the mean of its divisors is an integer number (156456621).

Almost surely, 2^312913241 is an apocalyptic number.

It is an amenable number.

312913241 is a deficient number, since it is larger than the sum of its proper divisors (1).

312913241 is an equidigital number, since it uses as much as digits as its factorization.

312913241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 26.

The square root of 312913241 is about 17689.3538887094. The cubic root of 312913241 is about 678.9033947020.

The spelling of 312913241 in words is "three hundred twelve million, nine hundred thirteen thousand, two hundred forty-one".