12824307 has 24 divisors (see below), whose sum is σ = 19880640. Its totient is φ = 7937280.

The previous prime is 12824303. The next prime is 12824309. The reversal of 12824307 is 70342821.

12824307 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12824307 - 2² = 12824303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12824303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11557 + ... + 12617.

It is an arithmetic number, because the mean of its divisors is an integer number (828360).

Almost surely, 2^12824307 is an apocalyptic number.

12824307 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12824307 is a deficient number, since it is larger than the sum of its proper divisors (7056333).

12824307 is a wasteful number, since it uses less digits than its factorization.

12824307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12824307 is about 3581.1041593341. The cubic root of 12824307 is about 234.0693964675.

It can be divided in two parts, 12824 and 307, that added together give a palindrome (13131).

The spelling of 12824307 in words is "twelve million, eight hundred twenty-four thousand, three hundred seven".