82766 has 8 divisors (see below), whose sum is σ = 128520. Its totient is φ = 39928.

The previous prime is 82763. The next prime is 82781. The reversal of 82766 is 66728.

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

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Curzon number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82763) 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, 656 + ... + 771.

It is an arithmetic number, because the mean of its divisors is an integer number (16065).

2⁸²⁷⁶⁶ is an apocalyptic number.

82766 is a deficient number, since it is larger than the sum of its proper divisors (45754).

82766 is a wasteful number, since it uses less digits than its factorization.

82766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458.

The product of its digits is 4032, while the sum is 29.

The square root of 82766 is about 287.6908062487. The cubic root of 82766 is about 43.5796751773.

It can be divided in two parts, 82 and 766, that added together give a palindrome (848).

The spelling of 82766 in words is "eighty-two thousand, seven hundred sixty-six".