680993 has 2 divisors, whose sum is σ = 680994. Its totient is φ = 680992.

The previous prime is 680989. The next prime is 681001. The reversal of 680993 is 399086.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 380689 + 300304 = 617^2 + 548^2 .

It is a cyclic number.

It is not a de Polignac number, because 680993 - 2² = 680989 is a prime.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (680293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 340496 + 340497.

It is an arithmetic number, because the mean of its divisors is an integer number (340497).

2⁶⁸⁰⁹⁹³ is an apocalyptic number.

It is an amenable number.

680993 is a deficient number, since it is larger than the sum of its proper divisors (1).

680993 is an equidigital number, since it uses as much as digits as its factorization.

680993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 680993 is about 825.2230001642. The cubic root of 680993 is about 87.9793770544.

The spelling of 680993 in words is "six hundred eighty thousand, nine hundred ninety-three".