314004401 has 2 divisors, whose sum is σ = 314004402. Its totient is φ = 314004400.

The previous prime is 314004389. The next prime is 314004413. The reversal of 314004401 is 104400413.

It is a balanced prime because it is at equal distance from previous prime (314004389) and next prime (314004413).

It can be written as a sum of positive squares in only one way, i.e., 280596001 + 33408400 = 16751^2 + 5780^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-314004401 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314004401.

It is not a weakly prime, because it can be changed into another prime (314004421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157002200 + 157002201.

It is an arithmetic number, because the mean of its divisors is an integer number (157002201).

Almost surely, 2^314004401 is an apocalyptic number.

It is an amenable number.

314004401 is a deficient number, since it is larger than the sum of its proper divisors (1).

314004401 is an equidigital number, since it uses as much as digits as its factorization.

314004401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 314004401 is about 17720.1693276334. The cubic root of 314004401 is about 679.6916140582.

Adding to 314004401 its reverse (104400413), we get a palindrome (418404814).

The spelling of 314004401 in words is "three hundred fourteen million, four thousand, four hundred one".