82764 has 54 divisors (see below), whose sum is σ = 242060. Its totient is φ = 23760.

The previous prime is 82763. The next prime is 82781. The reversal of 82764 is 46728.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (82763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4347 + ... + 4365.

2⁸²⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121030).

82764 is an abundant number, since it is smaller than the sum of its proper divisors (159296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82764 is a wasteful number, since it uses less digits than its factorization.

82764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 35 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 82764 is about 287.6873302737. The cubic root of 82764 is about 43.5793241473.

It can be divided in two parts, 8 and 2764, that added together give a palindrome (2772).

The spelling of 82764 in words is "eighty-two thousand, seven hundred sixty-four".