82811828 has 24 divisors (see below), whose sum is σ = 167396544. Its totient is φ = 35427200.

The previous prime is 82811801. The next prime is 82811837.

82811828 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82811791 and 82811800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54608 + ... + 56103.

It is an arithmetic number, because the mean of its divisors is an integer number (6974856).

Almost surely, 2^82811828 is an apocalyptic number.

It is an amenable number.

82811828 is an abundant number, since it is smaller than the sum of its proper divisors (84584716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82811828 is a wasteful number, since it uses less digits than its factorization.

82811828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110743 (or 110741 counting only the distinct ones).

The product of its digits is 16384, while the sum is 38.

The square root of 82811828 is about 9100.1004390062. The cubic root of 82811828 is about 435.8771713033.

The spelling of 82811828 in words is "eighty-two million, eight hundred eleven thousand, eight hundred twenty-eight".