82755 has 16 divisors (see below), whose sum is σ = 147360. Its totient is φ = 44064.

The previous prime is 82729. The next prime is 82757. The reversal of 82755 is 55728.

It is a happy number.

It is not a de Polignac number, because 82755 - 2⁵ = 82723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82757) 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 15 ways as a sum of consecutive naturals, for example, 172 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (9210).

82755 is a Friedman number, since it can be written as 5*(7^5-2^8), using all its digits and the basic arithmetic operations.

2⁸²⁷⁵⁵ is an apocalyptic number.

82755 is a deficient number, since it is larger than the sum of its proper divisors (64605).

82755 is a wasteful number, since it uses less digits than its factorization.

82755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 82755 is about 287.6716878666. The cubic root of 82755 is about 43.5777444422.

Subtracting from 82755 its sum of digits (27), we obtain a palindrome (82728).

The spelling of 82755 in words is "eighty-two thousand, seven hundred fifty-five".