314646413 has 2 divisors, whose sum is σ = 314646414. Its totient is φ = 314646412.

The previous prime is 314646407. The next prime is 314646419.

314646413 is nontrivially palindromic in base 10.

It is a balanced prime because it is at equal distance from previous prime (314646407) and next prime (314646419).

It can be written as a sum of positive squares in only one way, i.e., 301265449 + 13380964 = 17357^2 + 3658^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-314646413 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 314646413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314646419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157323206 + 157323207.

It is an arithmetic number, because the mean of its divisors is an integer number (157323207).

Almost surely, 2^314646413 is an apocalyptic number.

It is an amenable number.

314646413 is a deficient number, since it is larger than the sum of its proper divisors (1).

314646413 is an equidigital number, since it uses as much as digits as its factorization.

314646413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20736, while the sum is 32.

The square root of 314646413 is about 17738.2753671263. The cubic root of 314646413 is about 680.1545301917.

The spelling of 314646413 in words is "three hundred fourteen million, six hundred forty-six thousand, four hundred thirteen".