82005641 has 2 divisors, whose sum is σ = 82005642. Its totient is φ = 82005640.

The previous prime is 82005631. The next prime is 82005673. The reversal of 82005641 is 14650028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50410000 + 31595641 = 7100^2 + 5621^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82005641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82005641.

It is not a weakly prime, because it can be changed into another prime (82005631) 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, 41002820 + 41002821.

It is an arithmetic number, because the mean of its divisors is an integer number (41002821).

Almost surely, 2^82005641 is an apocalyptic number.

It is an amenable number.

82005641 is a deficient number, since it is larger than the sum of its proper divisors (1).

82005641 is an equidigital number, since it uses as much as digits as its factorization.

82005641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 82005641 is about 9055.6966049001. The cubic root of 82005641 is about 434.4581106330.

Adding to 82005641 its reverse (14650028), we get a palindrome (96655669).

The spelling of 82005641 in words is "eighty-two million, five thousand, six hundred forty-one".