314122337 has 2 divisors, whose sum is σ = 314122338. Its totient is φ = 314122336.

The previous prime is 314122309. The next prime is 314122343. The reversal of 314122337 is 733221413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 238362721 + 75759616 = 15439^2 + 8704^2 .

It is a cyclic number.

It is not a de Polignac number, because 314122337 - 2¹⁶ = 314056801 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (314122357) 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, 157061168 + 157061169.

It is an arithmetic number, because the mean of its divisors is an integer number (157061169).

Almost surely, 2^314122337 is an apocalyptic number.

It is an amenable number.

314122337 is a deficient number, since it is larger than the sum of its proper divisors (1).

314122337 is an equidigital number, since it uses as much as digits as its factorization.

314122337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 26.

The square root of 314122337 is about 17723.4967486667. The cubic root of 314122337 is about 679.7766978726.

The spelling of 314122337 in words is "three hundred fourteen million, one hundred twenty-two thousand, three hundred thirty-seven".