12864581 has 2 divisors, whose sum is σ = 12864582. Its totient is φ = 12864580.

The previous prime is 12864569. The next prime is 12864583. The reversal of 12864581 is 18546821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12716356 + 148225 = 3566^2 + 385^2 .

It is an emirp because it is prime and its reverse (18546821) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12864581 - 2⁶ = 12864517 is a prime.

It is a super-2 number, since 2×12864581² = 330994888611122, which contains 22 as substring.

Together with 12864583, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12864583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6432290 + 6432291.

It is an arithmetic number, because the mean of its divisors is an integer number (6432291).

Almost surely, 2^12864581 is an apocalyptic number.

It is an amenable number.

12864581 is a deficient number, since it is larger than the sum of its proper divisors (1).

12864581 is an equidigital number, since it uses as much as digits as its factorization.

12864581 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15360, while the sum is 35.

The square root of 12864581 is about 3586.7228775025. The cubic root of 12864581 is about 234.3141675841.

The spelling of 12864581 in words is "twelve million, eight hundred sixty-four thousand, five hundred eighty-one".