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BaseRepresentation
bin11001000100101
3122121110
43020211
5402322
6135233
752266
oct31045
918543
1012837
119710
127519
135ac6
14496d
153c0c
hex3225

12837 has 8 divisors (see below), whose sum is σ = 18720. Its totient is φ = 7760.

The previous prime is 12829. The next prime is 12841. The reversal of 12837 is 73821.

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 12837 - 23 = 12829 is a prime.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162 + ... + 227.

It is an arithmetic number, because the mean of its divisors is an integer number (2340).

212837 is an apocalyptic number.

It is an amenable number.

12837 is a deficient number, since it is larger than the sum of its proper divisors (5883).

12837 is a wasteful number, since it uses less digits than its factorization.

12837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403.

The product of its digits is 336, while the sum is 21.

The square root of 12837 is about 113.3004854359. The cubic root of 12837 is about 23.4146595264.

The spelling of 12837 in words is "twelve thousand, eight hundred thirty-seven".

Divisors: 1 3 11 33 389 1167 4279 12837