13807 has 2 divisors, whose sum is σ = 13808. Its totient is φ = 13806.

The previous prime is 13799. The next prime is 13829. The reversal of 13807 is 70831.

13807 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13807 - 2³ = 13799 is a prime.

It is a Chen prime.

It is the 118-th Hogben number.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13877) by changing a digit.

It is a nontrivial repunit in base 117.

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 as a sum of consecutive naturals, namely, 6903 + 6904.

It is an arithmetic number, because the mean of its divisors is an integer number (6904).

2¹³⁸⁰⁷ is an apocalyptic number.

13807 is a deficient number, since it is larger than the sum of its proper divisors (1).

13807 is an equidigital number, since it uses as much as digits as its factorization.

13807 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 13807 is about 117.5031914460. The cubic root of 13807 is about 23.9901580015.

It can be divided in two parts, 13 and 807, that added together give a triangular number (820 = T₄₀).

The spelling of 13807 in words is "thirteen thousand, eight hundred seven".