83822409441 has 21 divisors (see below), whose sum is σ = 125687844129. Its totient is φ = 55876394916.

The previous prime is 83822409431. The next prime is 83822409449. The reversal of 83822409441 is 14490422838.

The square root of 83822409441 is 289521.

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

It is not a de Polignac number, because 83822409441 - 2¹⁹ = 83821885153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83822409449) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 7811706 + ... + 7822428.

Almost surely, 2^83822409441 is an apocalyptic number.

83822409441 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

83822409441 is the 289521-st square number.

83822409441 is the 144761-st centered octagonal number.

It is an amenable number.

83822409441 is a deficient number, since it is larger than the sum of its proper divisors (41865434688).

83822409441 is an frugal number, since it uses more digits than its factorization.

83822409441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21464 (or 10726 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 83822409441 in words is "eighty-three billion, eight hundred twenty-two million, four hundred nine thousand, four hundred forty-one".