12728961 has 16 divisors (see below), whose sum is σ = 21552000. Its totient is φ = 7273584.

The previous prime is 12728939. The next prime is 12728977. The reversal of 12728961 is 16982721.

It is not a de Polignac number, because 12728961 - 2¹³ = 12720769 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12728561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33486 + ... + 33863.

It is an arithmetic number, because the mean of its divisors is an integer number (1347000).

Almost surely, 2^12728961 is an apocalyptic number.

It is an amenable number.

12728961 is a deficient number, since it is larger than the sum of its proper divisors (8823039).

12728961 is an equidigital number, since it uses as much as digits as its factorization.

12728961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67365 (or 67359 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 12728961 is about 3567.7669486669. The cubic root of 12728961 is about 233.4878674724.

It can be divided in two parts, 12728 and 961, that added together give a square (13689 = 117²).

The spelling of 12728961 in words is "twelve million, seven hundred twenty-eight thousand, nine hundred sixty-one".