13813829 has 2 divisors, whose sum is σ = 13813830. Its totient is φ = 13813828.

The previous prime is 13813801. The next prime is 13813841. The reversal of 13813829 is 92831831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13764100 + 49729 = 3710^2 + 223^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13813829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13818829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6906914 + 6906915.

It is an arithmetic number, because the mean of its divisors is an integer number (6906915).

Almost surely, 2^13813829 is an apocalyptic number.

It is an amenable number.

13813829 is a deficient number, since it is larger than the sum of its proper divisors (1).

13813829 is an equidigital number, since it uses as much as digits as its factorization.

13813829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10368, while the sum is 35.

The square root of 13813829 is about 3716.6959789577. The cubic root of 13813829 is about 239.9411256050.

The spelling of 13813829 in words is "thirteen million, eight hundred thirteen thousand, eight hundred twenty-nine".