82243729 has 2 divisors, whose sum is σ = 82243730. Its totient is φ = 82243728.

The previous prime is 82243727. The next prime is 82243741. The reversal of 82243729 is 92734228.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58982400 + 23261329 = 7680^2 + 4823^2 .

It is a cyclic number.

It is not a de Polignac number, because 82243729 - 2¹ = 82243727 is a prime.

Together with 82243727, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (82243727) 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, 41121864 + 41121865.

It is an arithmetic number, because the mean of its divisors is an integer number (41121865).

Almost surely, 2^82243729 is an apocalyptic number.

It is an amenable number.

82243729 is a deficient number, since it is larger than the sum of its proper divisors (1).

82243729 is an equidigital number, since it uses as much as digits as its factorization.

82243729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 37.

The square root of 82243729 is about 9068.8328355969. The cubic root of 82243729 is about 434.8781602663.

It can be divided in two parts, 822 and 43729, that added together give a triangular number (44551 = T₂₉₈).

The spelling of 82243729 in words is "eighty-two million, two hundred forty-three thousand, seven hundred twenty-nine".