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12823 is a prime number
BaseRepresentation
bin11001000010111
3122120221
43020113
5402243
6135211
752246
oct31027
918527
1012823
1196a8
127507
135ab5
14495d
153bed
hex3217

12823 has 2 divisors, whose sum is σ = 12824. Its totient is φ = 12822.

The previous prime is 12821. The next prime is 12829. The reversal of 12823 is 32821.

It can be divided in two parts, 128 and 23, that added together give a palindrome (151).

It is a happy number.

12823 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 is a cyclic number.

It is not a de Polignac number, because 12823 - 21 = 12821 is a prime.

Together with 12821, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12797 and 12806.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12821) 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, 6411 + 6412.

It is an arithmetic number, because the mean of its divisors is an integer number (6412).

212823 is an apocalyptic number.

12823 is a deficient number, since it is larger than the sum of its proper divisors (1).

12823 is an equidigital number, since it uses as much as digits as its factorization.

12823 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96, while the sum is 16.

The square root of 12823 is about 113.2386859691. The cubic root of 12823 is about 23.4061444404.

The spelling of 12823 in words is "twelve thousand, eight hundred twenty-three".