82844281 has 16 divisors (see below), whose sum is σ = 94775184. Its totient is φ = 71737344.

The previous prime is 82844263. The next prime is 82844287. The reversal of 82844281 is 18244828.

It can be written as a sum of positive squares in 8 ways, for example, as 11289600 + 71554681 = 3360^2 + 8459^2 .

It is a cyclic number.

It is not a de Polignac number, because 82844281 - 2⁵ = 82844249 is a prime.

It is a super-2 number, since 2×82844281² = 13726349788813922, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82844281.

It is not an unprimeable number, because it can be changed into a prime (82844287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122761 + ... + 123433.

It is an arithmetic number, because the mean of its divisors is an integer number (5923449).

Almost surely, 2^82844281 is an apocalyptic number.

It is an amenable number.

82844281 is a deficient number, since it is larger than the sum of its proper divisors (11930903).

82844281 is a wasteful number, since it uses less digits than its factorization.

82844281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260.

The product of its digits is 32768, while the sum is 37.

The square root of 82844281 is about 9101.8833765326. The cubic root of 82844281 is about 435.9341022786.

The spelling of 82844281 in words is "eighty-two million, eight hundred forty-four thousand, two hundred eighty-one".