12838613 has 2 divisors, whose sum is σ = 12838614. Its totient is φ = 12838612.

The previous prime is 12838601. The next prime is 12838627. The reversal of 12838613 is 31683821.

It is a happy number.

12838613 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9591409 + 3247204 = 3097^2 + 1802^2 .

It is a cyclic number.

It is not a de Polignac number, because 12838613 - 2⁴ = 12838597 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12838613.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12838643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6419306 + 6419307.

It is an arithmetic number, because the mean of its divisors is an integer number (6419307).

Almost surely, 2^12838613 is an apocalyptic number.

It is an amenable number.

12838613 is a deficient number, since it is larger than the sum of its proper divisors (1).

12838613 is an equidigital number, since it uses as much as digits as its factorization.

12838613 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6912, while the sum is 32.

The square root of 12838613 is about 3583.1010312298. The cubic root of 12838613 is about 234.1564018809.

It can be divided in two parts, 1283861 and 3, that multiplied together give a palindrome (3851583).

The spelling of 12838613 in words is "twelve million, eight hundred thirty-eight thousand, six hundred thirteen".