13857829 has 2 divisors, whose sum is σ = 13857830. Its totient is φ = 13857828.

The previous prime is 13857803. The next prime is 13857841. The reversal of 13857829 is 92875831.

13857829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11068929 + 2788900 = 3327^2 + 1670^2 .

It is a cyclic number.

It is not a de Polignac number, because 13857829 - 2⁹ = 13857317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13857029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6928914 + 6928915.

It is an arithmetic number, because the mean of its divisors is an integer number (6928915).

Almost surely, 2^13857829 is an apocalyptic number.

It is an amenable number.

13857829 is a deficient number, since it is larger than the sum of its proper divisors (1).

13857829 is an equidigital number, since it uses as much as digits as its factorization.

13857829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 120960, while the sum is 43.

The square root of 13857829 is about 3722.6105087694. The cubic root of 13857829 is about 240.1956102020.

The spelling of 13857829 in words is "thirteen million, eight hundred fifty-seven thousand, eight hundred twenty-nine".