12753 has 12 divisors (see below), whose sum is σ = 20020. Its totient is φ = 7776.

The previous prime is 12743. The next prime is 12757. The reversal of 12753 is 35721.

12753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5184 + 7569 = 72^2 + 87^2 .

It is not a de Polignac number, because 12753 - 2⁵ = 12721 is a prime.

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12753.

It is not an unprimeable number, because it can be changed into a prime (12757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63 + ... + 171.

2¹²⁷⁵³ is an apocalyptic number.

12753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12753 is a deficient number, since it is larger than the sum of its proper divisors (7267).

12753 is a wasteful number, since it uses less digits than its factorization.

12753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 125 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 12753 is about 112.9291813483. The cubic root of 12753 is about 23.3634757839.

The spelling of 12753 in words is "twelve thousand, seven hundred fifty-three".