12959041 has 2 divisors, whose sum is σ = 12959042. Its totient is φ = 12959040.

The previous prime is 12959021. The next prime is 12959047. The reversal of 12959041 is 14095921.

12959041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9790641 + 3168400 = 3129^2 + 1780^2 .

It is a cyclic number.

It is not a de Polignac number, because 12959041 - 2⁹ = 12958529 is a prime.

It is a Chen prime.

It is equal to p₈₄₆₇₅₁ and since 12959041 and 846751 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 12958994 and 12959012.

It is not a weakly prime, because it can be changed into another prime (12959047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6479520 + 6479521.

It is an arithmetic number, because the mean of its divisors is an integer number (6479521).

Almost surely, 2^12959041 is an apocalyptic number.

It is an amenable number.

12959041 is a deficient number, since it is larger than the sum of its proper divisors (1).

12959041 is an equidigital number, since it uses as much as digits as its factorization.

12959041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 12959041 is about 3599.8668030915. The cubic root of 12959041 is about 234.8862645648.

The spelling of 12959041 in words is "twelve million, nine hundred fifty-nine thousand, forty-one".