12573641 has 2 divisors, whose sum is σ = 12573642. Its totient is φ = 12573640.

The previous prime is 12573637. The next prime is 12573643. The reversal of 12573641 is 14637521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11363641 + 1210000 = 3371^2 + 1100^2 .

It is an emirp because it is prime and its reverse (14637521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12573641 - 2² = 12573637 is a prime.

Together with 12573643, 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 (12573643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6286820 + 6286821.

It is an arithmetic number, because the mean of its divisors is an integer number (6286821).

Almost surely, 2^12573641 is an apocalyptic number.

It is an amenable number.

12573641 is a deficient number, since it is larger than the sum of its proper divisors (1).

12573641 is an equidigital number, since it uses as much as digits as its factorization.

12573641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 29.

The square root of 12573641 is about 3545.9330224921. The cubic root of 12573641 is about 232.5342979425.

The spelling of 12573641 in words is "twelve million, five hundred seventy-three thousand, six hundred forty-one".