12967313 has 2 divisors, whose sum is σ = 12967314. Its totient is φ = 12967312.

The previous prime is 12967309. The next prime is 12967327. The reversal of 12967313 is 31376921.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8162449 + 4804864 = 2857^2 + 2192^2 .

It is a cyclic number.

It is not a de Polignac number, because 12967313 - 2² = 12967309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12967313.

It is not a weakly prime, because it can be changed into another prime (12967303) 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, 6483656 + 6483657.

It is an arithmetic number, because the mean of its divisors is an integer number (6483657).

Almost surely, 2^12967313 is an apocalyptic number.

It is an amenable number.

12967313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12967313 is an equidigital number, since it uses as much as digits as its factorization.

12967313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 32.

The square root of 12967313 is about 3601.0155512022. The cubic root of 12967313 is about 234.9362313772.

The spelling of 12967313 in words is "twelve million, nine hundred sixty-seven thousand, three hundred thirteen".