82005041 has 2 divisors, whose sum is σ = 82005042. Its totient is φ = 82005040.

The previous prime is 82005037. The next prime is 82005089. The reversal of 82005041 is 14050028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78836641 + 3168400 = 8879^2 + 1780^2 .

It is a cyclic number.

It is not a de Polignac number, because 82005041 - 2² = 82005037 is a prime.

It is not a weakly prime, because it can be changed into another prime (82005641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41002520 + 41002521.

It is an arithmetic number, because the mean of its divisors is an integer number (41002521).

Almost surely, 2^82005041 is an apocalyptic number.

It is an amenable number.

82005041 is a deficient number, since it is larger than the sum of its proper divisors (1).

82005041 is an equidigital number, since it uses as much as digits as its factorization.

82005041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 82005041 is about 9055.6634765212. The cubic root of 82005041 is about 434.4570510494.

Adding to 82005041 its reverse (14050028), we get a palindrome (96055069).

The spelling of 82005041 in words is "eighty-two million, five thousand, forty-one".