331314257 has 2 divisors, whose sum is σ = 331314258. Its totient is φ = 331314256.

The previous prime is 331314211. The next prime is 331314259. The reversal of 331314257 is 752413133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 256128016 + 75186241 = 16004^2 + 8671^2 .

It is an emirp because it is prime and its reverse (752413133) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-331314257 is a prime.

Together with 331314259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (331314259) 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, 165657128 + 165657129.

It is an arithmetic number, because the mean of its divisors is an integer number (165657129).

Almost surely, 2^331314257 is an apocalyptic number.

It is an amenable number.

331314257 is a deficient number, since it is larger than the sum of its proper divisors (1).

331314257 is an equidigital number, since it uses as much as digits as its factorization.

331314257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 29.

The square root of 331314257 is about 18202.0399131526. The cubic root of 331314257 is about 691.9584888561.

The spelling of 331314257 in words is "three hundred thirty-one million, three hundred fourteen thousand, two hundred fifty-seven".