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12857 = 132343
BaseRepresentation
bin11001000111001
3122122012
43020321
5402412
6135305
752325
oct31071
918565
1012857
119729
127535
135b10
144985
153c22
hex3239

12857 has 8 divisors (see below), whose sum is σ = 14784. Its totient is φ = 11088.

The previous prime is 12853. The next prime is 12889. The reversal of 12857 is 75821.

Adding to 12857 its sum of digits (23), we get a triangular number (12880 = T160).

12857 is nontrivially palindromic in base 7.

12857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12857 - 22 = 12853 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12853) 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 7 ways as a sum of consecutive naturals, for example, 278 + ... + 320.

It is an arithmetic number, because the mean of its divisors is an integer number (1848).

212857 is an apocalyptic number.

It is an amenable number.

12857 is a deficient number, since it is larger than the sum of its proper divisors (1927).

12857 is a wasteful number, since it uses less digits than its factorization.

12857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79.

The product of its digits is 560, while the sum is 23.

The square root of 12857 is about 113.3887119602. The cubic root of 12857 is about 23.4268132020.

The spelling of 12857 in words is "twelve thousand, eight hundred fifty-seven".

Divisors: 1 13 23 43 299 559 989 12857