5830 has 16 divisors (see below), whose sum is σ = 11664. Its totient is φ = 2080.

The previous prime is 5827. The next prime is 5839. The reversal of 5830 is 385.

5830 is nontrivially palindromic in base 9.

5830 is an admirable number.

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

It is a plaindrome in base 7 and base 12.

It is a nialpdrome in base 11.

It is a zygodrome in base 7.

It is a congruent number.

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

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 7 ways as a sum of consecutive naturals, for example, 84 + ... + 136.

It is an arithmetic number, because the mean of its divisors is an integer number (729).

2⁵⁸³⁰ is an apocalyptic number.

5830 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832).

5830 is a wasteful number, since it uses less digits than its factorization.

5830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5830 is about 76.3544366753. The cubic root of 5830 is about 17.9979421516.

Subtracting from 5830 its reverse (385), we obtain a palindrome (5445).

It can be divided in two parts, 58 and 30, that added together give a palindrome (88).

The spelling of 5830 in words is "five thousand, eight hundred thirty".