12653 has 2 divisors, whose sum is σ = 12654. Its totient is φ = 12652.

The previous prime is 12647. The next prime is 12659. The reversal of 12653 is 35621.

It is a balanced prime because it is at equal distance from previous prime (12647) and next prime (12659).

It can be written as a sum of positive squares in only one way, i.e., 6724 + 5929 = 82^2 + 77^2 .

It is a cyclic number.

It is not a de Polignac number, because 12653 - 2⁴ = 12637 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12653.

It is not a weakly prime, because it can be changed into another prime (12659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6326 + 6327.

It is an arithmetic number, because the mean of its divisors is an integer number (6327).

2¹²⁶⁵³ is an apocalyptic number.

It is an amenable number.

12653 is a deficient number, since it is larger than the sum of its proper divisors (1).

12653 is an equidigital number, since it uses as much as digits as its factorization.

12653 is an evil number, because the sum of its binary digits is even.

The product of its digits is 180, while the sum is 17.

The square root of 12653 is about 112.4855546281. The cubic root of 12653 is about 23.3022488573.

The spelling of 12653 in words is "twelve thousand, six hundred fifty-three".