82968 has 16 divisors (see below), whose sum is σ = 207480. Its totient is φ = 27648.

The previous prime is 82963. The next prime is 82981. The reversal of 82968 is 86928.

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82968.

It is not an unprimeable number, because it can be changed into a prime (82963) by changing a digit.

82968 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 in 3 ways as a sum of consecutive naturals, for example, 1705 + ... + 1752.

2⁸²⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

82968 is an abundant number, since it is smaller than the sum of its proper divisors (124512).

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 (103740).

82968 is a wasteful number, since it uses less digits than its factorization.

82968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466 (or 3462 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 82968 is about 288.0416636530. The cubic root of 82968 is about 43.6151001200.

The spelling of 82968 in words is "eighty-two thousand, nine hundred sixty-eight".