8515 has 8 divisors (see below), whose sum is σ = 11088. Its totient is φ = 6240.

The previous prime is 8513. The next prime is 8521. The reversal of 8515 is 5158.

8515 is a nontrivial binomial coefficient, being equal to C(131, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8515 - 2¹ = 8513 is a prime.

It is a Duffinian number.

8515 is a lucky number.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 8492 and 8501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 130.

It is an arithmetic number, because the mean of its divisors is an integer number (1386).

8515 is the 130-th triangular number.

8515 is the 44-th centered nonagonal number.

8515 is a deficient number, since it is larger than the sum of its proper divisors (2573).

8515 is a wasteful number, since it uses less digits than its factorization.

8515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149.

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

The square root of 8515 is about 92.2767576370. The cubic root of 8515 is about 20.4202733228.

It can be divided in two parts, 85 and 15, that multiplied together give a triangular number (1275 = T₅₀).

The spelling of 8515 in words is "eight thousand, five hundred fifteen".