82224689 has 2 divisors, whose sum is σ = 82224690. Its totient is φ = 82224688.

The previous prime is 82224683. The next prime is 82224691. The reversal of 82224689 is 98642228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43784689 + 38440000 = 6617^2 + 6200^2 .

It is a cyclic number.

It is not a de Polignac number, because 82224689 - 2⁴ = 82224673 is a prime.

It is a super-2 number, since 2×82224689² = 13521798962293442, which contains 22 as substring.

Together with 82224691, 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 (82224683) 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 as a sum of consecutive naturals, namely, 41112344 + 41112345.

It is an arithmetic number, because the mean of its divisors is an integer number (41112345).

Almost surely, 2^82224689 is an apocalyptic number.

It is an amenable number.

82224689 is a deficient number, since it is larger than the sum of its proper divisors (1).

82224689 is an equidigital number, since it uses as much as digits as its factorization.

82224689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 110592, while the sum is 41.

The square root of 82224689 is about 9067.7830256353. The cubic root of 82224689 is about 434.8445985617.

The spelling of 82224689 in words is "eighty-two million, two hundred twenty-four thousand, six hundred eighty-nine".