82315 has 8 divisors (see below), whose sum is σ = 100368. Its totient is φ = 64800.

The previous prime is 82307. The next prime is 82339. The reversal of 82315 is 51328.

It is a happy number.

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

It is not a de Polignac number, because 82315 - 2³ = 82307 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82292 and 82301.

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, 424 + ... + 586.

It is an arithmetic number, because the mean of its divisors is an integer number (12546).

2⁸²³¹⁵ is an apocalyptic number.

82315 is a deficient number, since it is larger than the sum of its proper divisors (18053).

82315 is a wasteful number, since it uses less digits than its factorization.

82315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269.

The product of its digits is 240, while the sum is 19.

The square root of 82315 is about 286.9059079210. The cubic root of 82315 is about 43.5003743307.

It can be divided in two parts, 823 and 15, that added together give a palindrome (838).

The spelling of 82315 in words is "eighty-two thousand, three hundred fifteen".