314404561 has 2 divisors, whose sum is σ = 314404562. Its totient is φ = 314404560.

The previous prime is 314404507. The next prime is 314404603. The reversal of 314404561 is 165404413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 293060161 + 21344400 = 17119^2 + 4620^2 .

It is a cyclic number.

It is not a de Polignac number, because 314404561 - 2⁹ = 314404049 is a prime.

It is not a weakly prime, because it can be changed into another prime (314404861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157202280 + 157202281.

It is an arithmetic number, because the mean of its divisors is an integer number (157202281).

Almost surely, 2^314404561 is an apocalyptic number.

It is an amenable number.

314404561 is a deficient number, since it is larger than the sum of its proper divisors (1).

314404561 is an equidigital number, since it uses as much as digits as its factorization.

314404561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 314404561 is about 17731.4568211413. The cubic root of 314404561 is about 679.9802192920.

Adding to 314404561 its reverse (165404413), we get a palindrome (479808974).

The spelling of 314404561 in words is "three hundred fourteen million, four hundred four thousand, five hundred sixty-one".