5832 has 28 divisors (see below), whose sum is σ = 16395. Its totient is φ = 1944.

The previous prime is 5827. The next prime is 5839. The reversal of 5832 is 2385.

Multipling 5832 by its sum of digits (18), we get a 4-th power (104976 = 18^{4}).

5832 divided by its sum of digits (18) gives a square (324 = 18^{2}).

It can be divided in two parts, 583 and 2, that added together give a palindrome (585).

The cubic root of 5832 is 18.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2916 + 2916 = 54^2 + 54^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=54.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as **5**^{5} + **3**^{7} + **8** + **2**^{9} .

It is an alternating number because its digits alternate between odd and even.

5832 is a Rhonda number in base 10.

Its product of digits (240) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 3, base 6, base 9 and base 11.

It is a zygodrome in base 3 and base 11.

It is not an unprimeable number, because it can be changed into a prime (5839) by changing a digit.

5832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 1943 + 1944 + 1945.

5832 is a Friedman number, since it can be written as (8+5*2)^3, using all its digits and the basic arithmetic operations.

2^{5832} 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 5832

5832 is an abundant number, since it is smaller than the sum of its proper divisors (10563).

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

5832 is an equidigital number, since it uses as much as digits as its factorization.

5832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24 (or 5 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 5832 is about 76.3675323681.

The spelling of 5832 in words is "five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832

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