12960753 has 16 divisors (see below), whose sum is σ = 19420800. Its totient is φ = 7628544.

The previous prime is 12960751. The next prime is 12960757. The reversal of 12960753 is 35706921.

12960753 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12960753 - 2¹ = 12960751 is a prime.

It is a super-3 number, since 3×12960753³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12960751) 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 15 ways as a sum of consecutive naturals, for example, 6328 + ... + 8121.

It is an arithmetic number, because the mean of its divisors is an integer number (1213800).

Almost surely, 2^12960753 is an apocalyptic number.

12960753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12960753 is a deficient number, since it is larger than the sum of its proper divisors (6460047).

12960753 is a wasteful number, since it uses less digits than its factorization.

12960753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14488.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 12960753 is about 3600.1045818143. The cubic root of 12960753 is about 234.8966076032.

The spelling of 12960753 in words is "twelve million, nine hundred sixty thousand, seven hundred fifty-three".