82796 has 12 divisors (see below), whose sum is σ = 165648. Its totient is φ = 35472.

The previous prime is 82793. The next prime is 82799. The reversal of 82796 is 69728.

It is an interprime number because it is at equal distance from previous prime (82793) and next prime (82799).

82796 is an admirable number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82793) 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, 1451 + ... + 1506.

It is an arithmetic number, because the mean of its divisors is an integer number (13804).

2⁸²⁷⁹⁶ is an apocalyptic number.

It is an amenable number.

82796 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (82824).

82796 is a wasteful number, since it uses less digits than its factorization.

82796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2966 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 82796 is about 287.7429408343. The cubic root of 82796 is about 43.5849399492.

Adding to 82796 its sum of digits (32), we get a palindrome (82828).

It can be divided in two parts, 82 and 796, that added together give a palindrome (878).

The spelling of 82796 in words is "eighty-two thousand, seven hundred ninety-six".