82215 has 40 divisors (see below), whose sum is σ = 174240. Its totient is φ = 36288.

The previous prime is 82207. The next prime is 82217. The reversal of 82215 is 51228.

82215 is nontrivially palindromic in base 12.

82215 is a nontrivial binomial coefficient, being equal to C(406, 2).

It is not a de Polignac number, because 82215 - 2³ = 82207 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82217) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2821 + ... + 2849.

It is an arithmetic number, because the mean of its divisors is an integer number (4356).

2⁸²²¹⁵ is an apocalyptic number.

82215 is the 405-th triangular number and also the 203-rd hexagonal number.

82215 is an abundant number, since it is smaller than the sum of its proper divisors (92025).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87120).

82215 is a wasteful number, since it uses less digits than its factorization.

82215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 44 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 82215 is about 286.7315817973. The cubic root of 82215 is about 43.4827517825.

The spelling of 82215 in words is "eighty-two thousand, two hundred fifteen".