13829117 has 2 divisors, whose sum is σ = 13829118. Its totient is φ = 13829116.

The previous prime is 13829111. The next prime is 13829119. The reversal of 13829117 is 71192831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8231161 + 5597956 = 2869^2 + 2366^2 .

It is a cyclic number.

It is not a de Polignac number, because 13829117 - 2¹⁰ = 13828093 is a prime.

Together with 13829119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13829111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6914558 + 6914559.

It is an arithmetic number, because the mean of its divisors is an integer number (6914559).

Almost surely, 2^13829117 is an apocalyptic number.

It is an amenable number.

13829117 is a deficient number, since it is larger than the sum of its proper divisors (1).

13829117 is an equidigital number, since it uses as much as digits as its factorization.

13829117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 32.

The square root of 13829117 is about 3718.7520756297. The cubic root of 13829117 is about 240.0296086156.

The spelling of 13829117 in words is "thirteen million, eight hundred twenty-nine thousand, one hundred seventeen".