82729441 has 2 divisors, whose sum is σ = 82729442. Its totient is φ = 82729440.

The previous prime is 82729379. The next prime is 82729487. The reversal of 82729441 is 14492728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72743841 + 9985600 = 8529^2 + 3160^2 .

It is a cyclic number.

It is not a de Polignac number, because 82729441 - 2⁷ = 82729313 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82729441.

It is not a weakly prime, because it can be changed into another prime (82723441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41364720 + 41364721.

It is an arithmetic number, because the mean of its divisors is an integer number (41364721).

Almost surely, 2^82729441 is an apocalyptic number.

It is an amenable number.

82729441 is a deficient number, since it is larger than the sum of its proper divisors (1).

82729441 is an equidigital number, since it uses as much as digits as its factorization.

82729441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32256, while the sum is 37.

The square root of 82729441 is about 9095.5726042949. The cubic root of 82729441 is about 435.7325763070.

The spelling of 82729441 in words is "eighty-two million, seven hundred twenty-nine thousand, four hundred forty-one".