82771 has 4 divisors (see below), whose sum is σ = 89152. Its totient is φ = 76392.

The previous prime is 82763. The next prime is 82781. The reversal of 82771 is 17728.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 82771 - 2³ = 82763 is a prime.

It is a Duffinian number.

82771 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82721) 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, 3171 + ... + 3196.

It is an arithmetic number, because the mean of its divisors is an integer number (22288).

2⁸²⁷⁷¹ is an apocalyptic number.

82771 is a deficient number, since it is larger than the sum of its proper divisors (6381).

82771 is a wasteful number, since it uses less digits than its factorization.

82771 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6380.

The product of its digits is 784, while the sum is 25.

The square root of 82771 is about 287.6994960023. The cubic root of 82771 is about 43.5805527276.

It can be divided in two parts, 827 and 71, that added together give a palindrome (898).

The spelling of 82771 in words is "eighty-two thousand, seven hundred seventy-one".