82216 has 16 divisors (see below), whose sum is σ = 158400. Its totient is φ = 39984.

The previous prime is 82207. The next prime is 82217. The reversal of 82216 is 61228.

82216 = 18³ + 19³ + ... + 25³.

It is a happy number.

It is a pancake number, because a pancake can be divided into 82216 parts by 405 straight cuts.

It is a junction number, because it is equal to n+sod(n) for n = 82193 and 82202.

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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 225 + ... + 463.

It is an arithmetic number, because the mean of its divisors is an integer number (9900).

2⁸²²¹⁶ is an apocalyptic number.

82216 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

82216 is a deficient number, since it is larger than the sum of its proper divisors (76184).

82216 is a wasteful number, since it uses less digits than its factorization.

82216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 82216 is about 286.7333255832. The cubic root of 82216 is about 43.4829280787.

It can be divided in two parts, 822 and 16, that added together give a palindrome (838).

The spelling of 82216 in words is "eighty-two thousand, two hundred sixteen".