2815 has 4 divisors (see below), whose sum is σ = 3384. Its totient is φ = 2248.

The previous prime is 2803. The next prime is 2819. The reversal of 2815 is 5182.

2815 = 6² + 7² + ... + 20².

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5182 = 2 ⋅2591.

It is a cyclic number.

It is not a de Polignac number, because 2815 - 2⁷ = 2687 is a prime.

It is a Duffinian number.

2815 is a lucky number.

It is a plaindrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2819) 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, 277 + ... + 286.

It is an arithmetic number, because the mean of its divisors is an integer number (846).

2815 is a deficient number, since it is larger than the sum of its proper divisors (569).

2815 is an equidigital number, since it uses as much as digits as its factorization.

2815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568.

The product of its digits is 80, while the sum is 16.

The square root of 2815 is about 53.0565735795. The cubic root of 2815 is about 14.1197215770.

Adding to 2815 its reverse (5182), we get a palindrome (7997).

The spelling of 2815 in words is "two thousand, eight hundred fifteen".