82568 has 8 divisors (see below), whose sum is σ = 154830. Its totient is φ = 41280.

The previous prime is 82567. The next prime is 82571. The reversal of 82568 is 86528.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 68644 + 13924 = 262^2 + 118^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 82568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82561) 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 as a sum of consecutive naturals, namely, 5153 + ... + 5168.

2⁸²⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

82568 is a deficient number, since it is larger than the sum of its proper divisors (72262).

82568 is a wasteful number, since it uses less digits than its factorization.

82568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10327 (or 10323 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 82568 is about 287.3464807510. The cubic root of 82568 is about 43.5448957361.

The spelling of 82568 in words is "eighty-two thousand, five hundred sixty-eight".