13728041 has 2 divisors, whose sum is σ = 13728042. Its totient is φ = 13728040.

The previous prime is 13728037. The next prime is 13728101. The reversal of 13728041 is 14082731.

13728041 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., 11417641 + 2310400 = 3379^2 + 1520^2 .

It is a cyclic number.

It is not a de Polignac number, because 13728041 - 2² = 13728037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13728041.

It is not a weakly prime, because it can be changed into another prime (13788041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6864020 + 6864021.

It is an arithmetic number, because the mean of its divisors is an integer number (6864021).

Almost surely, 2^13728041 is an apocalyptic number.

It is an amenable number.

13728041 is a deficient number, since it is larger than the sum of its proper divisors (1).

13728041 is an equidigital number, since it uses as much as digits as its factorization.

13728041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 13728041 is about 3705.1371094738. The cubic root of 13728041 is about 239.4433918248.

The spelling of 13728041 in words is "thirteen million, seven hundred twenty-eight thousand, forty-one".