684057593 has 2 divisors, whose sum is σ = 684057594. Its totient is φ = 684057592.

The previous prime is 684057587. The next prime is 684057613. The reversal of 684057593 is 395750486.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 543682489 + 140375104 = 23317^2 + 11848^2 .

It is a cyclic number.

It is not a de Polignac number, because 684057593 - 2⁶ = 684057529 is a prime.

It is not a weakly prime, because it can be changed into another prime (684057553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 342028796 + 342028797.

It is an arithmetic number, because the mean of its divisors is an integer number (342028797).

Almost surely, 2^684057593 is an apocalyptic number.

It is an amenable number.

684057593 is a deficient number, since it is larger than the sum of its proper divisors (1).

684057593 is an equidigital number, since it uses as much as digits as its factorization.

684057593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 907200, while the sum is 47.

The square root of 684057593 is about 26154.4946997643. The cubic root of 684057593 is about 881.1115400527. Note that the first 3 decimals are identical.

The spelling of 684057593 in words is "six hundred eighty-four million, fifty-seven thousand, five hundred ninety-three".