314856401 has 2 divisors, whose sum is σ = 314856402. Its totient is φ = 314856400.

The previous prime is 314856389. The next prime is 314856413. The reversal of 314856401 is 104658413.

It is a balanced prime because it is at equal distance from previous prime (314856389) and next prime (314856413).

It can be written as a sum of positive squares in only one way, i.e., 296666176 + 18190225 = 17224^2 + 4265^2 .

It is a cyclic number.

It is not a de Polignac number, because 314856401 - 2¹⁰ = 314855377 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (314856601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157428200 + 157428201.

It is an arithmetic number, because the mean of its divisors is an integer number (157428201).

Almost surely, 2^314856401 is an apocalyptic number.

It is an amenable number.

314856401 is a deficient number, since it is larger than the sum of its proper divisors (1).

314856401 is an equidigital number, since it uses as much as digits as its factorization.

314856401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 314856401 is about 17744.1934446173. The cubic root of 314856401 is about 680.3058032004.

The spelling of 314856401 in words is "three hundred fourteen million, eight hundred fifty-six thousand, four hundred one".