4815 has 12 divisors (see below), whose sum is σ = 8424. Its totient is φ = 2544.

The previous prime is 4813. The next prime is 4817. The reversal of 4815 is 5184.

4815 = 29² + 30² + ... + 33².

4815 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (4813) and next prime (4817).

It is not a de Polignac number, because 4815 - 2¹ = 4813 is a prime.

It is a plaindrome in base 11 and base 16.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4815.

It is not an unprimeable number, because it can be changed into a prime (4813) 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, 9 + ... + 98.

It is an arithmetic number, because the mean of its divisors is an integer number (702).

4815 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4815 is a deficient number, since it is larger than the sum of its proper divisors (3609).

4815 is a wasteful number, since it uses less digits than its factorization.

4815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 115 counting only the distinct ones).

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

The square root of 4815 is about 69.3902010373. The cubic root of 4815 is about 16.8862065479.

Adding to 4815 its reverse (5184), we get a palindrome (9999).

The spelling of 4815 in words is "four thousand, eight hundred fifteen".