13038729 has 8 divisors (see below), whose sum is σ = 18965472. Its totient is φ = 7902240.

The previous prime is 13038721. The next prime is 13038733. The reversal of 13038729 is 92783031.

13038729 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13038729 - 2³ = 13038721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 395113 = 13038729 / (1 + 3 + 0 + 3 + 8 + 7 + 2 + 9).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13038729.

It is not an unprimeable number, because it can be changed into a prime (13038721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197524 + ... + 197589.

It is an arithmetic number, because the mean of its divisors is an integer number (2370684).

Almost surely, 2^13038729 is an apocalyptic number.

It is an amenable number.

13038729 is a deficient number, since it is larger than the sum of its proper divisors (5926743).

13038729 is a wasteful number, since it uses less digits than its factorization.

13038729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395127.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 13038729 is about 3610.9180273166. The cubic root of 13038729 is about 235.3667368706.

The spelling of 13038729 in words is "thirteen million, thirty-eight thousand, seven hundred twenty-nine".