82053583 has 2 divisors, whose sum is σ = 82053584. Its totient is φ = 82053582.

The previous prime is 82053539. The next prime is 82053599. The reversal of 82053583 is 38535028.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82053583 - 2²¹ = 79956431 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82053523) 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, 41026791 + 41026792.

It is an arithmetic number, because the mean of its divisors is an integer number (41026792).

Almost surely, 2^82053583 is an apocalyptic number.

82053583 is a deficient number, since it is larger than the sum of its proper divisors (1).

82053583 is an equidigital number, since it uses as much as digits as its factorization.

82053583 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 82053583 is about 9058.3432811966. The cubic root of 82053583 is about 434.5427581964.

The spelling of 82053583 in words is "eighty-two million, fifty-three thousand, five hundred eighty-three".