314257 has 2 divisors, whose sum is σ = 314258. Its totient is φ = 314256.

The previous prime is 314243. The next prime is 314261. The reversal of 314257 is 752413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221841 + 92416 = 471^2 + 304^2 .

It is an emirp because it is prime and its reverse (752413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 314257 - 2⁷ = 314129 is a prime.

It is not a weakly prime, because it can be changed into another prime (314227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157128 + 157129.

It is an arithmetic number, because the mean of its divisors is an integer number (157129).

2³¹⁴²⁵⁷ is an apocalyptic number.

It is an amenable number.

314257 is a deficient number, since it is larger than the sum of its proper divisors (1).

314257 is an equidigital number, since it uses as much as digits as its factorization.

314257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 840, while the sum is 22.

The square root of 314257 is about 560.5863002250. The cubic root of 314257 is about 67.9873823186.

The spelling of 314257 in words is "three hundred fourteen thousand, two hundred fifty-seven".