12953 has 2 divisors, whose sum is σ = 12954. Its totient is φ = 12952.

The previous prime is 12941. The next prime is 12959. The reversal of 12953 is 35921.

12953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8464 + 4489 = 92^2 + 67^2 .

12953 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 12953 - 2⁶ = 12889 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12959) 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 as a sum of consecutive naturals, namely, 6476 + 6477.

It is an arithmetic number, because the mean of its divisors is an integer number (6477).

2¹²⁹⁵³ is an apocalyptic number.

It is an amenable number.

12953 is a deficient number, since it is larger than the sum of its proper divisors (1).

12953 is an equidigital number, since it uses as much as digits as its factorization.

12953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 270, while the sum is 20.

The square root of 12953 is about 113.8112472474. The cubic root of 12953 is about 23.4849760617.

The spelling of 12953 in words is "twelve thousand, nine hundred fifty-three".