83296 has 24 divisors (see below), whose sum is σ = 173880. Its totient is φ = 39168.

The previous prime is 83273. The next prime is 83299. The reversal of 83296 is 69238.

83296 = T₂₃ + T₂₄ + ... + T₇₉.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83299) 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, 540 + ... + 676.

It is an arithmetic number, because the mean of its divisors is an integer number (7245).

2⁸³²⁹⁶ 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 83296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86940).

83296 is an abundant number, since it is smaller than the sum of its proper divisors (90584).

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

83296 is a wasteful number, since it uses less digits than its factorization.

83296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 83296 is about 288.6104641208. The cubic root of 83296 is about 43.6724995284.

The spelling of 83296 in words is "eighty-three thousand, two hundred ninety-six".