13728933 has 10 divisors (see below), whose sum is σ = 20508774. Its totient is φ = 9152568.

The previous prime is 13728917. The next prime is 13728937. The reversal of 13728933 is 33982731.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 13417569 + 311364 = 3663^2 + 558^2 .

It is not a de Polignac number, because 13728933 - 2⁴ = 13728917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13728937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 84666 + ... + 84827.

Almost surely, 2^13728933 is an apocalyptic number.

It is an amenable number.

13728933 is a deficient number, since it is larger than the sum of its proper divisors (6779841).

13728933 is an equidigital number, since it uses as much as digits as its factorization.

13728933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169505 (or 169496 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 13728933 is about 3705.2574809317. The cubic root of 13728933 is about 239.4485777767.

The spelling of 13728933 in words is "thirteen million, seven hundred twenty-eight thousand, nine hundred thirty-three".