5984 has 24 divisors (see below), whose sum is σ = 13608. Its totient is φ = 2560.

The previous prime is 5981. The next prime is 5987. The reversal of 5984 is 4895.

5984 = T₁ + T₂ + ... + T₃₂.

5984 = 5³ + 6³ + ... + 12³.

5984 is a nontrivial binomial coefficient, being equal to C(34, 3).

It is an interprime number because it is at equal distance from previous prime (5981) and next prime (5987).

Its product of digits (1440) is a multiple of the sum of its prime divisors (30).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5981) by changing a digit.

It is the 32-nd tetrahedral number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 344 + ... + 360.

It is an arithmetic number, because the mean of its divisors is an integer number (567).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804).

5984 is an abundant number, since it is smaller than the sum of its proper divisors (7624).

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

5984 is a wasteful number, since it uses less digits than its factorization.

5984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 30 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 5984 is about 77.3563184233. The cubic root of 5984 is about 18.1550393665.

Subtracting from 5984 its reverse (4895), we obtain a square (1089 = 33²).

It can be divided in two parts, 5 and 984, that added together give a palindrome (989).

The spelling of 5984 in words is "five thousand, nine hundred eighty-four".