82765 has 4 divisors (see below), whose sum is σ = 99324. Its totient is φ = 66208.

The previous prime is 82763. The next prime is 82781. The reversal of 82765 is 56728.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 59049 + 23716 = 243^2 + 154^2 .

It is a cyclic number.

It is not a de Polignac number, because 82765 - 2¹ = 82763 is a prime.

It is a Duffinian 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, 8272 + ... + 8281.

It is an arithmetic number, because the mean of its divisors is an integer number (24831).

2⁸²⁷⁶⁵ is an apocalyptic number.

It is an amenable number.

82765 is a deficient number, since it is larger than the sum of its proper divisors (16559).

82765 is a wasteful number, since it uses less digits than its factorization.

82765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16558.

The product of its digits is 3360, while the sum is 28.

The square root of 82765 is about 287.6890682664. The cubic root of 82765 is about 43.5794996630.

It can be divided in two parts, 8276 and 5, that added together give a square (8281 = 91²).

The spelling of 82765 in words is "eighty-two thousand, seven hundred sixty-five".