4515 has 16 divisors (see below), whose sum is σ = 8448. Its totient is φ = 2016.

The previous prime is 4513. The next prime is 4517. The reversal of 4515 is 5154.

4515 = 11² + 12² + ... + 24².

4515 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (4513) and next prime (4517).

It is not a de Polignac number, because 4515 - 2¹ = 4513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 4494 and 4503.

It is not an unprimeable number, because it can be changed into a prime (4513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84 + ... + 126.

It is an arithmetic number, because the mean of its divisors is an integer number (528).

2⁴⁵¹⁵ is an apocalyptic number.

4515 is a deficient number, since it is larger than the sum of its proper divisors (3933).

4515 is a wasteful number, since it uses less digits than its factorization.

4515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58.

The product of its digits is 100, while the sum is 15.

The square root of 4515 is about 67.1937497093. The cubic root of 4515 is about 16.5279599401.

Adding to 4515 its reverse (5154), we get a palindrome (9669).

The spelling of 4515 in words is "four thousand, five hundred fifteen".