84084593 has 2 divisors, whose sum is σ = 84084594. Its totient is φ = 84084592.

The previous prime is 84084587. The next prime is 84084599. The reversal of 84084593 is 39548048.

It is a balanced prime because it is at equal distance from previous prime (84084587) and next prime (84084599).

It can be written as a sum of positive squares in only one way, i.e., 80425024 + 3659569 = 8968^2 + 1913^2 .

It is a cyclic number.

It is not a de Polignac number, because 84084593 - 2⁸ = 84084337 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 84084593.

It is not a weakly prime, because it can be changed into another prime (84084599) 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, 42042296 + 42042297.

It is an arithmetic number, because the mean of its divisors is an integer number (42042297).

Almost surely, 2^84084593 is an apocalyptic number.

It is an amenable number.

84084593 is a deficient number, since it is larger than the sum of its proper divisors (1).

84084593 is an equidigital number, since it uses as much as digits as its factorization.

84084593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 84084593 is about 9169.7651551171. The cubic root of 84084593 is about 438.0988792142.

The spelling of 84084593 in words is "eighty-four million, eighty-four thousand, five hundred ninety-three".