82515 has 8 divisors (see below), whose sum is σ = 132048. Its totient is φ = 44000.

The previous prime is 82507. The next prime is 82529. The reversal of 82515 is 51528.

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

It is not a de Polignac number, because 82515 - 2³ = 82507 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82491 and 82500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2736 + ... + 2765.

It is an arithmetic number, because the mean of its divisors is an integer number (16506).

2⁸²⁵¹⁵ is an apocalyptic number.

82515 is a deficient number, since it is larger than the sum of its proper divisors (49533).

82515 is a wasteful number, since it uses less digits than its factorization.

82515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5509.

The product of its digits is 400, while the sum is 21.

The square root of 82515 is about 287.2542427885. The cubic root of 82515 is about 43.5355766559.

It can be divided in two parts, 8251 and 5, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 82515 in words is "eighty-two thousand, five hundred fifteen".