13829913 has 16 divisors (see below), whose sum is σ = 20691840. Its totient is φ = 9128592.

The previous prime is 13829899. The next prime is 13829917. The reversal of 13829913 is 31992831.

It is not a de Polignac number, because 13829913 - 2⁸ = 13829657 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13829917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295 + ... + 5267.

It is an arithmetic number, because the mean of its divisors is an integer number (1293240).

Almost surely, 2^13829913 is an apocalyptic number.

It is an amenable number.

13829913 is a deficient number, since it is larger than the sum of its proper divisors (6861927).

13829913 is a wasteful number, since it uses less digits than its factorization.

13829913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5085 (or 5079 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 13829913 is about 3718.8590992400. The cubic root of 13829913 is about 240.0342138723.

The spelling of 13829913 in words is "thirteen million, eight hundred twenty-nine thousand, nine hundred thirteen".