680749 has 2 divisors, whose sum is σ = 680750. Its totient is φ = 680748.

The previous prime is 680707. The next prime is 680759. The reversal of 680749 is 947086.

680749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 656100 + 24649 = 810^2 + 157^2 .

It is a cyclic number.

It is not a de Polignac number, because 680749 - 2⁹ = 680237 is a prime.

680749 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (680759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 340374 + 340375.

It is an arithmetic number, because the mean of its divisors is an integer number (340375).

2⁶⁸⁰⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

680749 is a deficient number, since it is larger than the sum of its proper divisors (1).

680749 is an equidigital number, since it uses as much as digits as its factorization.

680749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 680749 is about 825.0751480926. The cubic root of 680749 is about 87.9688681200.

The spelling of 680749 in words is "six hundred eighty thousand, seven hundred forty-nine".