13728329 has 2 divisors, whose sum is σ = 13728330. Its totient is φ = 13728328.

The previous prime is 13728301. The next prime is 13728331. The reversal of 13728329 is 92382731.

13728329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12673600 + 1054729 = 3560^2 + 1027^2 .

It is a cyclic number.

It is not a de Polignac number, because 13728329 - 2¹² = 13724233 is a prime.

It is a Sophie Germain prime.

Together with 13728331, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13728229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6864164 + 6864165.

It is an arithmetic number, because the mean of its divisors is an integer number (6864165).

Almost surely, 2^13728329 is an apocalyptic number.

It is an amenable number.

13728329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13728329 is an equidigital number, since it uses as much as digits as its factorization.

13728329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18144, while the sum is 35.

The square root of 13728329 is about 3705.1759742285. The cubic root of 13728329 is about 239.4450662374.

The spelling of 13728329 in words is "thirteen million, seven hundred twenty-eight thousand, three hundred twenty-nine".