314204257 has 8 divisors (see below), whose sum is σ = 316861416. Its totient is φ = 311555712.

The previous prime is 314204237. The next prime is 314204263. The reversal of 314204257 is 752402413.

It can be written as a sum of positive squares in 4 ways, for example, as 772641 + 313431616 = 879^2 + 17704^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314204257 - 2¹⁵ = 314171489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314204237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85653 + ... + 89245.

It is an arithmetic number, because the mean of its divisors is an integer number (39607677).

Almost surely, 2^314204257 is an apocalyptic number.

It is an amenable number.

314204257 is a deficient number, since it is larger than the sum of its proper divisors (2657159).

314204257 is a wasteful number, since it uses less digits than its factorization.

314204257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4307.

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 314204257 is about 17725.8076543778. The cubic root of 314204257 is about 679.8357857505.

The spelling of 314204257 in words is "three hundred fourteen million, two hundred four thousand, two hundred fifty-seven".