9684 has 18 divisors (see below), whose sum is σ = 24570. Its totient is φ = 3216.

The previous prime is 9679. The next prime is 9689. The reversal of 9684 is 4869.

9684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9679) and next prime (9689).

It can be written as a sum of positive squares in only one way, i.e., 6084 + 3600 = 78^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9689) by changing a digit.

9684 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 99 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (1365).

2⁹⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

9684 is an abundant number, since it is smaller than the sum of its proper divisors (14886).

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

9684 is a wasteful number, since it uses less digits than its factorization.

9684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 274 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 9684 is about 98.4073168011. The cubic root of 9684 is about 21.3149798744.

The spelling of 9684 in words is "nine thousand, six hundred eighty-four".