82042801 has 6 divisors (see below), whose sum is σ = 84321510. Its totient is φ = 79824096.

The previous prime is 82042759. The next prime is 82042819. The reversal of 82042801 is 10824028.

It can be written as a sum of positive squares in 3 ways, for example, as 25492401 + 56550400 = 5049^2 + 7520^2 .

It is not a de Polignac number, because 82042801 - 2⁷ = 82042673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82042841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28596 + ... + 31333.

It is an arithmetic number, because the mean of its divisors is an integer number (14053585).

Almost surely, 2^82042801 is an apocalyptic number.

It is an amenable number.

82042801 is a deficient number, since it is larger than the sum of its proper divisors (2278709).

82042801 is an equidigital number, since it uses as much as digits as its factorization.

82042801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60003 (or 59966 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 82042801 is about 9057.7481197039. The cubic root of 82042801 is about 434.5237241089.

Adding to 82042801 its reverse (10824028), we get a palindrome (92866829).

The spelling of 82042801 in words is "eighty-two million, forty-two thousand, eight hundred one".