82066 has 8 divisors (see below), whose sum is σ = 126540. Its totient is φ = 39888.

The previous prime is 82051. The next prime is 82067. The reversal of 82066 is 66028.

It can be written as a sum of positive squares in 2 ways, for example, as 81225 + 841 = 285^2 + 29^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not an unprimeable number, because it can be changed into a prime (82067) by changing a digit.

82066 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, 481 + ... + 628.

2⁸²⁰⁶⁶ is an apocalyptic number.

82066 is a deficient number, since it is larger than the sum of its proper divisors (44474).

82066 is a wasteful number, since it uses less digits than its factorization.

82066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 82066 is about 286.4716390849. The cubic root of 82066 is about 43.4564676578.

The spelling of 82066 in words is "eighty-two thousand, sixty-six".