314312417 has 2 divisors, whose sum is σ = 314312418. Its totient is φ = 314312416.

The previous prime is 314312407. The next prime is 314312423. The reversal of 314312417 is 714213413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302725201 + 11587216 = 17399^2 + 3404^2 .

It is an emirp because it is prime and its reverse (714213413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 314312417 - 2⁸ = 314312161 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (314312407) 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, 157156208 + 157156209.

It is an arithmetic number, because the mean of its divisors is an integer number (157156209).

Almost surely, 2^314312417 is an apocalyptic number.

It is an amenable number.

314312417 is a deficient number, since it is larger than the sum of its proper divisors (1).

314312417 is an equidigital number, since it uses as much as digits as its factorization.

314312417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 26.

The square root of 314312417 is about 17728.8583106753. The cubic root of 314312417 is about 679.9137844846.

The spelling of 314312417 in words is "three hundred fourteen million, three hundred twelve thousand, four hundred seventeen".