82696 has 8 divisors (see below), whose sum is σ = 155070. Its totient is φ = 41344.

The previous prime is 82657. The next prime is 82699. The reversal of 82696 is 69628.

It can be written as a sum of positive squares in only one way, i.e., 81796 + 900 = 286^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (82699) by changing a digit.

82696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 5161 + ... + 5176.

2⁸²⁶⁹⁶ is an apocalyptic number.

It is an amenable number.

82696 is a deficient number, since it is larger than the sum of its proper divisors (72374).

82696 is a wasteful number, since it uses less digits than its factorization.

82696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343 (or 10339 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 82696 is about 287.5691221254. The cubic root of 82696 is about 43.5673857602.

It can be divided in two parts, 8 and 2696, that added together give a square (2704 = 52²).

The spelling of 82696 in words is "eighty-two thousand, six hundred ninety-six".