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BaseRepresentation
bin11001000100010
3122121100
43020202
5402314
6135230
752263
oct31042
918540
1012834
119708
127516
135ac3
14496a
153c09
hex3222

12834 has 24 divisors (see below), whose sum is σ = 29952. Its totient is φ = 3960.

The previous prime is 12829. The next prime is 12841. The reversal of 12834 is 43821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399 + ... + 429.

It is an arithmetic number, because the mean of its divisors is an integer number (1248).

212834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14976).

12834 is an abundant number, since it is smaller than the sum of its proper divisors (17118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12834 is a wasteful number, since it uses less digits than its factorization.

12834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 59 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12834 is about 113.2872455310. The cubic root of 12834 is about 23.4128353865.

The spelling of 12834 in words is "twelve thousand, eight hundred thirty-four".