5684 has 18 divisors (see below), whose sum is σ = 11970. Its totient is φ = 2352.

The previous prime is 5683. The next prime is 5689. The reversal of 5684 is 4865.

It can be written as a sum of positive squares in only one way, i.e., 4900 + 784 = 70^2 + 28^2 .

5684 is a modest number, since divided by 84 gives 56 as remainder.

It is a plaindrome in base 12.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5683) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 182 + ... + 210.

It is an arithmetic number, because the mean of its divisors is an integer number (665).

2⁵⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985).

5684 is an abundant number, since it is smaller than the sum of its proper divisors (6286).

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

5684 is a wasteful number, since it uses less digits than its factorization.

5684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 38 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 5684 is about 75.3923072999. The cubic root of 5684 is about 17.8464301460.

The spelling of 5684 in words is "five thousand, six hundred eighty-four".