5838 has 16 divisors (see below), whose sum is σ = 13440. Its totient is φ = 1656.

The previous prime is 5827. The next prime is 5839. The reversal of 5838 is 8385.

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

It is a Curzon number.

It is a plaindrome in base 12 and base 16.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 111.

It is an arithmetic number, because the mean of its divisors is an integer number (840).

2⁵⁸³⁸ is an apocalyptic number.

5838 is an abundant number, since it is smaller than the sum of its proper divisors (7602).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720).

5838 is a wasteful number, since it uses less digits than its factorization.

5838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151.

The product of its digits is 960, while the sum is 24.

The square root of 5838 is about 76.4068059796. The cubic root of 5838 is about 18.0061707238.

It can be divided in two parts, 583 and 8, that multiplied together give a palindrome (4664).

The spelling of 5838 in words is "five thousand, eight hundred thirty-eight".