314357 has 2 divisors, whose sum is σ = 314358. Its totient is φ = 314356.

The previous prime is 314351. The next prime is 314359. The reversal of 314357 is 753413.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206116 + 108241 = 454^2 + 329^2 .

It is a cyclic number.

It is not a de Polignac number, because 314357 - 2¹⁰ = 313333 is a prime.

Together with 314359, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₂₇₁₄₉ and since 314357 and 27149 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314357.

It is not a weakly prime, because it can be changed into another prime (314351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157178 + 157179.

It is an arithmetic number, because the mean of its divisors is an integer number (157179).

2³¹⁴³⁵⁷ is an apocalyptic number.

It is an amenable number.

314357 is a deficient number, since it is larger than the sum of its proper divisors (1).

314357 is an equidigital number, since it uses as much as digits as its factorization.

314357 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1260, while the sum is 23.

The square root of 314357 is about 560.6754854637. The cubic root of 314357 is about 67.9945929957.

It can be divided in two parts, 3 and 14357, that multiplied together give a triangular number (43071 = T₂₉₃).

The spelling of 314357 in words is "three hundred fourteen thousand, three hundred fifty-seven".