12628001 has 2 divisors, whose sum is σ = 12628002. Its totient is φ = 12628000.

The previous prime is 12627983. The next prime is 12628009. The reversal of 12628001 is 10082621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10144225 + 2483776 = 3185^2 + 1576^2 .

It is an emirp because it is prime and its reverse (10082621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12628001 - 2¹⁴ = 12611617 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12628009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6314000 + 6314001.

It is an arithmetic number, because the mean of its divisors is an integer number (6314001).

Almost surely, 2^12628001 is an apocalyptic number.

It is an amenable number.

12628001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12628001 is an equidigital number, since it uses as much as digits as its factorization.

12628001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 12628001 is about 3553.5898750419. The cubic root of 12628001 is about 232.8689236784.

The spelling of 12628001 in words is "twelve million, six hundred twenty-eight thousand, one".