5831 has 8 divisors (see below), whose sum is σ = 7200. Its totient is φ = 4704.

The previous prime is 5827. The next prime is 5839. The reversal of 5831 is 1385.

It is a Cunningham number, because it is equal to 18³-1.

It is not a de Polignac number, because 5831 - 2² = 5827 is a prime.

It is a super-2 number, since 2×5831² = 68001122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

Its product of digits (120) is a multiple of the sum of its prime divisors (24).

It is a plaindrome in base 9 and base 12.

It is a nialpdrome in base 11.

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, 335 + ... + 351.

It is an arithmetic number, because the mean of its divisors is an integer number (900).

5831 is a deficient number, since it is larger than the sum of its proper divisors (1369).

5831 is an equidigital number, since it uses as much as digits as its factorization.

5831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 24 counting only the distinct ones).

The product of its digits is 120, while the sum is 17.

The square root of 5831 is about 76.3609848025. The cubic root of 5831 is about 17.9989711346.

5831 divided by its sum of digits (17) gives a palindrome (343).

The spelling of 5831 in words is "five thousand, eight hundred thirty-one".