82084021 has 2 divisors, whose sum is σ = 82084022. Its totient is φ = 82084020.

The previous prime is 82083983. The next prime is 82084031. The reversal of 82084021 is 12048028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53085796 + 28998225 = 7286^2 + 5385^2 .

It is a cyclic number.

It is not a de Polignac number, because 82084021 - 2²⁵ = 48529589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82084031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41042010 + 41042011.

It is an arithmetic number, because the mean of its divisors is an integer number (41042011).

Almost surely, 2^82084021 is an apocalyptic number.

It is an amenable number.

82084021 is a deficient number, since it is larger than the sum of its proper divisors (1).

82084021 is an equidigital number, since it uses as much as digits as its factorization.

82084021 is an odious number, because the sum of its binary digits is odd.

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

The square root of 82084021 is about 9060.0232339658. The cubic root of 82084021 is about 434.5964831602.

The spelling of 82084021 in words is "eighty-two million, eighty-four thousand, twenty-one".