12816257 has 2 divisors, whose sum is σ = 12816258. Its totient is φ = 12816256.

The previous prime is 12816247. The next prime is 12816259. The reversal of 12816257 is 75261821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12117361 + 698896 = 3481^2 + 836^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12816257 is a prime.

It is a super-3 number, since 3×12816257³ (a number of 22 digits) contains 333 as substring.

Together with 12816259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12816259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6408128 + 6408129.

It is an arithmetic number, because the mean of its divisors is an integer number (6408129).

Almost surely, 2^12816257 is an apocalyptic number.

It is an amenable number.

12816257 is a deficient number, since it is larger than the sum of its proper divisors (1).

12816257 is an equidigital number, since it uses as much as digits as its factorization.

12816257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6720, while the sum is 32.

The square root of 12816257 is about 3579.9800278773. The cubic root of 12816257 is about 234.0204099859.

The spelling of 12816257 in words is "twelve million, eight hundred sixteen thousand, two hundred fifty-seven".