82007593 has 2 divisors, whose sum is σ = 82007594. Its totient is φ = 82007592.

The previous prime is 82007561. The next prime is 82007623. The reversal of 82007593 is 39570028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50737129 + 31270464 = 7123^2 + 5592^2 .

It is a cyclic number.

It is not a de Polignac number, because 82007593 - 2⁵ = 82007561 is a prime.

It is not a weakly prime, because it can be changed into another prime (82007533) 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, 41003796 + 41003797.

It is an arithmetic number, because the mean of its divisors is an integer number (41003797).

Almost surely, 2^82007593 is an apocalyptic number.

It is an amenable number.

82007593 is a deficient number, since it is larger than the sum of its proper divisors (1).

82007593 is an equidigital number, since it uses as much as digits as its factorization.

82007593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 82007593 is about 9055.8043817212. The cubic root of 82007593 is about 434.4615577760.

The spelling of 82007593 in words is "eighty-two million, seven thousand, five hundred ninety-three".