13842129 has 16 divisors (see below), whose sum is σ = 21224448. Its totient is φ = 7860432.

The previous prime is 13842121. The next prime is 13842137. The reversal of 13842129 is 92124831.

13842129 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13842121) and next prime (13842137).

It is not a de Polignac number, because 13842129 - 2³ = 13842121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13842096 and 13842105.

It is not an unprimeable number, because it can be changed into a prime (13842121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1534 + ... + 5480.

It is an arithmetic number, because the mean of its divisors is an integer number (1326528).

Almost surely, 2^13842129 is an apocalyptic number.

It is an amenable number.

13842129 is a deficient number, since it is larger than the sum of its proper divisors (7382319).

13842129 is a wasteful number, since it uses less digits than its factorization.

13842129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124.

The product of its digits is 3456, while the sum is 30.

The square root of 13842129 is about 3720.5011759170. The cubic root of 13842129 is about 240.1048673663.

The spelling of 13842129 in words is "thirteen million, eight hundred forty-two thousand, one hundred twenty-nine".