83216 has 20 divisors (see below), whose sum is σ = 184512. Its totient is φ = 35616.

The previous prime is 83207. The next prime is 83219. The reversal of 83216 is 61238.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (83219) 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, 260 + ... + 483.

2⁸³²¹⁶ is an apocalyptic number.

It is an amenable number.

83216 is an abundant number, since it is smaller than the sum of its proper divisors (101296).

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 (92256).

83216 is a wasteful number, since it uses less digits than its factorization.

83216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 752 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 83216 is about 288.4718357136. The cubic root of 83216 is about 43.6585135864.

Subtracting from 83216 its product of digits (288), we obtain a palindrome (82928).

It can be divided in two parts, 832 and 16, that added together give a palindrome (848).

The spelling of 83216 in words is "eighty-three thousand, two hundred sixteen".