82210869814441 has 3 divisors (see below), whose sum is σ = 82210878881463. Its totient is φ = 82210860747420.

The previous prime is 82210869814439. The next prime is 82210869814457. The reversal of 82210869814441 is 14441896801228.

It is a happy number.

The square root of 82210869814441 is 9067021.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 82178231778841 + 32638035600 = 9065221^2 + 180660^2 .

It is not a de Polignac number, because 82210869814441 - 2¹ = 82210869814439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82210869824441) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4533511 + ... + 13600531.

It is an arithmetic number, because the mean of its divisors is an integer number (27403626293821).

Almost surely, 2^{82210869814441} is an apocalyptic number.

82210869814441 is the 9067021-st square number.

82210869814441 is the 4533511-st centered octagonal number.

It is an amenable number.

82210869814441 is a deficient number, since it is larger than the sum of its proper divisors (9067022).

82210869814441 is an frugal number, since it uses more digits than its factorization.

82210869814441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18134042 (or 9067021 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 58.

The spelling of 82210869814441 in words is "eighty-two trillion, two hundred ten billion, eight hundred sixty-nine million, eight hundred fourteen thousand, four hundred forty-one".