314005841 has 2 divisors, whose sum is σ = 314005842. Its totient is φ = 314005840.

The previous prime is 314005829. The next prime is 314005843. The reversal of 314005841 is 148500413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 265005841 + 49000000 = 16279^2 + 7000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-314005841 is a prime.

Together with 314005843, it forms a pair of twin primes.

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 314005841.

It is not a weakly prime, because it can be changed into another prime (314005843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157002920 + 157002921.

It is an arithmetic number, because the mean of its divisors is an integer number (157002921).

Almost surely, 2^314005841 is an apocalyptic number.

It is an amenable number.

314005841 is a deficient number, since it is larger than the sum of its proper divisors (1).

314005841 is an equidigital number, since it uses as much as digits as its factorization.

314005841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 314005841 is about 17720.2099592527. The cubic root of 314005841 is about 679.6926530610.

The spelling of 314005841 in words is "three hundred fourteen million, five thousand, eight hundred forty-one".