82820593 has 2 divisors, whose sum is σ = 82820594. Its totient is φ = 82820592.

The previous prime is 82820587. The next prime is 82820597. The reversal of 82820593 is 39502828.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82319329 + 501264 = 9073^2 + 708^2 .

It is a cyclic number.

It is not a de Polignac number, because 82820593 - 2⁹ = 82820081 is a prime.

It is not a weakly prime, because it can be changed into another prime (82820597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41410296 + 41410297.

It is an arithmetic number, because the mean of its divisors is an integer number (41410297).

Almost surely, 2^82820593 is an apocalyptic number.

It is an amenable number.

82820593 is a deficient number, since it is larger than the sum of its proper divisors (1).

82820593 is an equidigital number, since it uses as much as digits as its factorization.

82820593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 82820593 is about 9100.5820143549. The cubic root of 82820593 is about 435.8925488515.

The spelling of 82820593 in words is "eighty-two million, eight hundred twenty thousand, five hundred ninety-three".