687593 has 2 divisors, whose sum is σ = 687594. Its totient is φ = 687592.

The previous prime is 687581. The next prime is 687623. The reversal of 687593 is 395786.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 529984 + 157609 = 728^2 + 397^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-687593 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (687523) 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, 343796 + 343797.

It is an arithmetic number, because the mean of its divisors is an integer number (343797).

2⁶⁸⁷⁵⁹³ is an apocalyptic number.

It is an amenable number.

687593 is a deficient number, since it is larger than the sum of its proper divisors (1).

687593 is an equidigital number, since it uses as much as digits as its factorization.

687593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 38.

The square root of 687593 is about 829.2122768025. The cubic root of 687593 is about 88.2626878691.

The spelling of 687593 in words is "six hundred eighty-seven thousand, five hundred ninety-three".