12628457 has 2 divisors, whose sum is σ = 12628458. Its totient is φ = 12628456.

The previous prime is 12628423. The next prime is 12628459. The reversal of 12628457 is 75482621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10896601 + 1731856 = 3301^2 + 1316^2 .

It is a cyclic number.

It is not a de Polignac number, because 12628457 - 2⁶ = 12628393 is a prime.

Together with 12628459, 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 (12628459) 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, 6314228 + 6314229.

It is an arithmetic number, because the mean of its divisors is an integer number (6314229).

Almost surely, 2^12628457 is an apocalyptic number.

It is an amenable number.

12628457 is a deficient number, since it is larger than the sum of its proper divisors (1).

12628457 is an equidigital number, since it uses as much as digits as its factorization.

12628457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26880, while the sum is 35.

The square root of 12628457 is about 3553.6540349336. The cubic root of 12628457 is about 232.8717266280.

The spelling of 12628457 in words is "twelve million, six hundred twenty-eight thousand, four hundred fifty-seven".