5819 has 6 divisors (see below), whose sum is σ = 6636. Its totient is φ = 5060.

The previous prime is 5813. The next prime is 5821. The reversal of 5819 is 9185.

5819 divided by its sum of digits (23) gives a triangular number (253 = T_{22}).

It can be divided in two parts, 58 and 19, that added together give a palindrome (77).

5819 = T_{10} + T_{11} + ... +
T_{32}.

It is not a de Polignac number, because 5819 - 2^{8} = 5563 is a prime.

It is a super-2 number, since 2×5819^{2} = 67721522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a plaindrome in base 12, base 15 and base 16.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 5794 and 5803.

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 5 ways as a sum of consecutive naturals, for example, 242 + ... + 264.

It is an arithmetic number, because the mean of its divisors is an integer number (1106).

2^{5819} is an apocalyptic number.

5819 is a deficient number, since it is larger than the sum of its proper divisors (817).

5819 is a wasteful number, since it uses less digits than its factorization.

5819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 34 counting only the distinct ones).

The product of its digits is 360, while the sum is 23.

The square root of 5819 is about 76.2823701782. The cubic root of 5819 is about 17.9866155645.

The spelling of 5819 in words is "five thousand, eight hundred nineteen".

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