13728937 has 2 divisors, whose sum is σ = 13728938. Its totient is φ = 13728936.

The previous prime is 13728917. The next prime is 13728943. The reversal of 13728937 is 73982731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10265616 + 3463321 = 3204^2 + 1861^2 .

It is an emirp because it is prime and its reverse (73982731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13728937 - 2¹⁹ = 13204649 is a prime.

It is a super-2 number, since 2×13728937² = 376967422299938, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13728937.

It is not a weakly prime, because it can be changed into another prime (13728917) 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 as a sum of consecutive naturals, namely, 6864468 + 6864469.

It is an arithmetic number, because the mean of its divisors is an integer number (6864469).

Almost surely, 2^13728937 is an apocalyptic number.

It is an amenable number.

13728937 is a deficient number, since it is larger than the sum of its proper divisors (1).

13728937 is an equidigital number, since it uses as much as digits as its factorization.

13728937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63504, while the sum is 40.

The square root of 13728937 is about 3705.2580207052. The cubic root of 13728937 is about 239.4486010316.

The spelling of 13728937 in words is "thirteen million, seven hundred twenty-eight thousand, nine hundred thirty-seven".