5814 has 24 divisors (see below), whose sum is σ = 14040. Its totient is φ = 1728.

The previous prime is 5813. The next prime is 5821. The reversal of 5814 is 4185.

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

It is an Ulam number.

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

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297 + ... + 315.

It is an arithmetic number, because the mean of its divisors is an integer number (585).

2⁵⁸¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020).

5814 is an abundant number, since it is smaller than the sum of its proper divisors (8226).

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

5814 is a wasteful number, since it uses less digits than its factorization.

5814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 41 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 5814 is about 76.2495901628. The cubic root of 5814 is about 17.9814623968.

Adding to 5814 its sum of digits (18), we get a cube (5832 = 18³).

5814 divided by its sum of digits (18) gives a palindrome (323).

Adding to 5814 its reverse (4185), we get a palindrome (9999).

It can be divided in two parts, 581 and 4, that added together give a palindrome (585).

The spelling of 5814 in words is "five thousand, eight hundred fourteen".