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12829 is a prime number

12829 has 2 divisors, whose sum is σ = 12830. Its totient is φ = 12828.

The previous prime is 12823. The next prime is 12841. The reversal of 12829 is 92821.

12829 is digitally balanced in base 2, 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., 12100 + 729 = 110^2 + 27^2 .

It is an emirp because it is prime and its reverse (92821) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12829 - 23 = 12821 is a prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6414 + 6415.

It is an arithmetic number, because the mean of its divisors is an integer number (6415).

212829 is an apocalyptic number.

It is an amenable number.

12829 is a deficient number, since it is larger than the sum of its proper divisors (1).

12829 is an equidigital number, since it uses as much as digits as its factorization.

12829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 22.

The square root of 12829 is about 113.2651755837. The cubic root of 12829 is about 23.4097945215.

It can be divided in two parts, 12 and 829, that added together give a square (841 = 292).

The spelling of 12829 in words is "twelve thousand, eight hundred twenty-nine".