314728961 has 2 divisors, whose sum is σ = 314728962. Its totient is φ = 314728960.

The previous prime is 314728927. The next prime is 314728979. The reversal of 314728961 is 169827413.

314728961 = 12544² + 12545².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157377025 + 157351936 = 12545^2 + 12544^2 .

It is a cyclic number.

It is not a de Polignac number, because 314728961 - 2¹⁴ = 314712577 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (314728991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157364480 + 157364481.

It is an arithmetic number, because the mean of its divisors is an integer number (157364481).

Almost surely, 2^314728961 is an apocalyptic number.

314728961 is the 12545-th centered square number.

It is an amenable number.

314728961 is a deficient number, since it is larger than the sum of its proper divisors (1).

314728961 is an equidigital number, since it uses as much as digits as its factorization.

314728961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 41.

The square root of 314728961 is about 17740.6020472813. The cubic root of 314728961 is about 680.2140048746.

The spelling of 314728961 in words is "three hundred fourteen million, seven hundred twenty-eight thousand, nine hundred sixty-one".