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9834 = 2311149
BaseRepresentation
bin10011001101010
3111111020
42121222
5303314
6113310
740446
oct23152
914436
109834
117430
125836
134626
143826
152da9
hex266a

9834 has 16 divisors (see below), whose sum is σ = 21600. Its totient is φ = 2960.

The previous prime is 9833. The next prime is 9839. The reversal of 9834 is 4389.

9834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (9833) 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, 9 + ... + 140.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

29834 is an apocalyptic number.

9834 is an abundant number, since it is smaller than the sum of its proper divisors (11766).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10800).

9834 is a wasteful number, since it uses less digits than its factorization.

9834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165.

The product of its digits is 864, while the sum is 24.

The square root of 9834 is about 99.1665266105. The cubic root of 9834 is about 21.4244690559.

Subtracting from 9834 its reverse (4389), we obtain a palindrome (5445).

The spelling of 9834 in words is "nine thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 149 298 447 894 1639 3278 4917 9834