12864257 has 12 divisors (see below), whose sum is σ = 15620160. Its totient is φ = 10376256.

The previous prime is 12864251. The next prime is 12864263. The reversal of 12864257 is 75246821.

It is an interprime number because it is at equal distance from previous prime (12864251) and next prime (12864263).

It is not a de Polignac number, because 12864257 - 2¹⁸ = 12602113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12864251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1157 + ... + 5202.

It is an arithmetic number, because the mean of its divisors is an integer number (1301680).

Almost surely, 2^12864257 is an apocalyptic number.

12864257 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12864257 is a deficient number, since it is larger than the sum of its proper divisors (2755903).

12864257 is an equidigital number, since it uses as much as digits as its factorization.

12864257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 6383 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 12864257 is about 3586.6777106398. The cubic root of 12864257 is about 234.3122004666.

The spelling of 12864257 in words is "twelve million, eight hundred sixty-four thousand, two hundred fifty-seven".