12657041 has 2 divisors, whose sum is σ = 12657042. Its totient is φ = 12657040.

The previous prime is 12657013. The next prime is 12657049. The reversal of 12657041 is 14075621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8673025 + 3984016 = 2945^2 + 1996^2 .

It is a cyclic number.

It is not a de Polignac number, because 12657041 - 2¹⁴ = 12640657 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12657041.

It is not a weakly prime, because it can be changed into another prime (12657049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6328520 + 6328521.

It is an arithmetic number, because the mean of its divisors is an integer number (6328521).

Almost surely, 2^12657041 is an apocalyptic number.

It is an amenable number.

12657041 is a deficient number, since it is larger than the sum of its proper divisors (1).

12657041 is an equidigital number, since it uses as much as digits as its factorization.

12657041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 12657041 is about 3557.6735375804. The cubic root of 12657041 is about 233.0472928003.

The spelling of 12657041 in words is "twelve million, six hundred fifty-seven thousand, forty-one".