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9884 = 227353

9884 has 12 divisors (see below), whose sum is σ = 19824. Its totient is φ = 4224.

The previous prime is 9883. The next prime is 9887. The reversal of 9884 is 4889.

9884 is nontrivially palindromic in base 13.

9884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

9884 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

9884 is an admirable number.

It is a plaindrome in base 15 and base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9884.

It is not an unprimeable number, because it can be changed into a prime (9883) 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 3 ways as a sum of consecutive naturals, for example, 149 + ... + 204.

It is an arithmetic number, because the mean of its divisors is an integer number (1652).

29884 is an apocalyptic number.

It is an amenable number.

9884 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (9912).

9884 is a wasteful number, since it uses less digits than its factorization.

9884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 362 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 9884 is about 99.4183081731. The cubic root of 9884 is about 21.4607178884.

The spelling of 9884 in words is "nine thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 14 28 353 706 1412 2471 4942 9884