82444289 has 2 divisors, whose sum is σ = 82444290. Its totient is φ = 82444288.

The previous prime is 82444279. The next prime is 82444291. The reversal of 82444289 is 98244428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46240000 + 36204289 = 6800^2 + 6017^2 .

It is a cyclic number.

It is not a de Polignac number, because 82444289 - 2⁴ = 82444273 is a prime.

Together with 82444291, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82444279) 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 as a sum of consecutive naturals, namely, 41222144 + 41222145.

It is an arithmetic number, because the mean of its divisors is an integer number (41222145).

It is a Proth number, since it is equal to 629 ⋅ 2¹⁷ + 1 and 629 < 2¹⁷.

Almost surely, 2^82444289 is an apocalyptic number.

It is an amenable number.

82444289 is a deficient number, since it is larger than the sum of its proper divisors (1).

82444289 is an equidigital number, since it uses as much as digits as its factorization.

82444289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 147456, while the sum is 41.

The square root of 82444289 is about 9079.8837547625. The cubic root of 82444289 is about 435.2313720474.

The spelling of 82444289 in words is "eighty-two million, four hundred forty-four thousand, two hundred eighty-nine".