13687129 has 2 divisors, whose sum is σ = 13687130. Its totient is φ = 13687128.

The previous prime is 13687123. The next prime is 13687169. The reversal of 13687129 is 92178631.

13687129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10272025 + 3415104 = 3205^2 + 1848^2 .

It is an emirp because it is prime and its reverse (92178631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13687129 - 2⁵ = 13687097 is a prime.

It is not a weakly prime, because it can be changed into another prime (13687123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6843564 + 6843565.

It is an arithmetic number, because the mean of its divisors is an integer number (6843565).

Almost surely, 2^13687129 is an apocalyptic number.

It is an amenable number.

13687129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13687129 is an equidigital number, since it uses as much as digits as its factorization.

13687129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18144, while the sum is 37.

The square root of 13687129 is about 3699.6120066839. The cubic root of 13687129 is about 239.2052938672.

It can be divided in two parts, 136871 and 29, that added together give a square (136900 = 370²).

The spelling of 13687129 in words is "thirteen million, six hundred eighty-seven thousand, one hundred twenty-nine".