82881 has 6 divisors (see below), whose sum is σ = 119730. Its totient is φ = 55248.

The previous prime is 82847. The next prime is 82883. The reversal of 82881 is 18828.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 25281 = 240^2 + 159^2 .

It is not a de Polignac number, because 82881 - 2¹¹ = 80833 is a prime.

It is a super-2 number, since 2×82881² = 13738520322, which contains 22 as substring.

82881 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (82883) 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 5 ways as a sum of consecutive naturals, for example, 4596 + ... + 4613.

It is an arithmetic number, because the mean of its divisors is an integer number (19955).

2⁸²⁸⁸¹ is an apocalyptic number.

It is an amenable number.

82881 is a deficient number, since it is larger than the sum of its proper divisors (36849).

82881 is a wasteful number, since it uses less digits than its factorization.

82881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9215 (or 9212 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 82881 is about 287.8906042232. The cubic root of 82881 is about 43.5998498999.

It can be divided in two parts, 828 and 81, that added together give a palindrome (909).

The spelling of 82881 in words is "eighty-two thousand, eight hundred eighty-one".