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12853 is a prime number
BaseRepresentation
bin11001000110101
3122122001
43020311
5402403
6135301
752321
oct31065
918561
1012853
119725
127531
135b09
144981
153c1d
hex3235

12853 has 2 divisors, whose sum is σ = 12854. Its totient is φ = 12852.

The previous prime is 12841. The next prime is 12889. The reversal of 12853 is 35821.

It can be divided in two parts, 128 and 53, that added together give a palindrome (181).

It is a happy number.

12853 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 3249 = 98^2 + 57^2 .

It is a cyclic number.

It is not a de Polignac number, because 12853 - 25 = 12821 is a prime.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 12853.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12823) 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, 6426 + 6427.

It is an arithmetic number, because the mean of its divisors is an integer number (6427).

212853 is an apocalyptic number.

It is an amenable number.

12853 is a deficient number, since it is larger than the sum of its proper divisors (1).

12853 is an equidigital number, since it uses as much as digits as its factorization.

12853 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 240, while the sum is 19.

The square root of 12853 is about 113.3710721481. The cubic root of 12853 is about 23.4243834757.

The spelling of 12853 in words is "twelve thousand, eight hundred fifty-three".