13807829 has 16 divisors (see below), whose sum is σ = 16320000. Its totient is φ = 11438064.

The previous prime is 13807823. The next prime is 13807831. The reversal of 13807829 is 92870831.

13807829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13807829 - 2¹² = 13803733 is a prime.

It is a super-2 number, since 2×13807829² = 381312283386482, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13807792 and 13807801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13807823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27422 + ... + 27920.

It is an arithmetic number, because the mean of its divisors is an integer number (1020000).

Almost surely, 2^13807829 is an apocalyptic number.

It is an amenable number.

13807829 is a deficient number, since it is larger than the sum of its proper divisors (2512171).

13807829 is an equidigital number, since it uses as much as digits as its factorization.

13807829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632.

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 13807829 is about 3715.8887227688. Note that the first 3 decimals coincide. The cubic root of 13807829 is about 239.9063813102.

The spelling of 13807829 in words is "thirteen million, eight hundred seven thousand, eight hundred twenty-nine".