82815 has 8 divisors (see below), whose sum is σ = 132528. Its totient is φ = 44160.

The previous prime is 82813. The next prime is 82837. The reversal of 82815 is 51828.

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

It is not a de Polignac number, because 82815 - 2¹ = 82813 is a prime.

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 82815.

It is not an unprimeable number, because it can be changed into a prime (82811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2746 + ... + 2775.

It is an arithmetic number, because the mean of its divisors is an integer number (16566).

2⁸²⁸¹⁵ is an apocalyptic number.

82815 is a deficient number, since it is larger than the sum of its proper divisors (49713).

82815 is a wasteful number, since it uses less digits than its factorization.

82815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529.

The product of its digits is 640, while the sum is 24.

The square root of 82815 is about 287.7759545202. The cubic root of 82815 is about 43.5882736469.

The spelling of 82815 in words is "eighty-two thousand, eight hundred fifteen".