82016 has 24 divisors (see below), whose sum is σ = 176904. Its totient is φ = 37120.

The previous prime is 82013. The next prime is 82021. The reversal of 82016 is 61028.

82016 = T₅₅ + T₅₆ + ... + T₈₆.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 81985 and 82003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 236 + ... + 468.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2⁸²⁰¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88452).

82016 is an abundant number, since it is smaller than the sum of its proper divisors (94888).

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

82016 is a wasteful number, since it uses less digits than its factorization.

82016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 82016 is about 286.3843571147. The cubic root of 82016 is about 43.4476403529.

The spelling of 82016 in words is "eighty-two thousand, sixteen".