5815 has 4 divisors (see below), whose sum is σ = 6984. Its totient is φ = 4648.

The previous prime is 5813. The next prime is 5821. The reversal of 5815 is 5185.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 5815 - 2¹ = 5813 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 5792 and 5801.

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 3 ways as a sum of consecutive naturals, for example, 577 + ... + 586.

It is an arithmetic number, because the mean of its divisors is an integer number (1746).

2⁵⁸¹⁵ is an apocalyptic number.

5815 is a deficient number, since it is larger than the sum of its proper divisors (1169).

5815 is a wasteful number, since it uses less digits than its factorization.

5815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168.

The product of its digits is 200, while the sum is 19.

The square root of 5815 is about 76.2561472932. The cubic root of 5815 is about 17.9824932666.

Subtracting from 5815 its reverse (5185), we obtain a triangular number (630 = T₃₅).

It can be divided in two parts, 5 and 815, that added together give a triangular number (820 = T₄₀).

The spelling of 5815 in words is "five thousand, eight hundred fifteen".