5824 has 28 divisors (see below), whose sum is σ = 14224. Its totient is φ = 2304.

The previous prime is 5821. The next prime is 5827. The reversal of 5824 is 4285.

It is a happy number.

5824 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (5821) and next prime (5827).

It is a tau number, because it is divible by the number of its divisors (28).

5824 is a Rhonda number in base 10.

Its product of digits (320) is a multiple of the sum of its prime factors (32).

It is not an unprimeable number, because it can be changed into a prime (5821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 442 + ... + 454.

It is an arithmetic number, because the mean of its divisors is an integer number (508).

2^{5824} 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 5824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112).

5824 is an abundant number, since it is smaller than the sum of its proper divisors (8400).

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

5824 is a wasteful number, since it uses less digits than its factorization.

5824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 22 counting only the distinct ones).

The product of its digits is 320, while the sum is 19.

The square root of 5824 is about 76.3151361134. The cubic root of 5824 is about 17.9917657811.

The spelling of 5824 in words is "five thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824

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