680441 has 2 divisors, whose sum is σ = 680442. Its totient is φ = 680440.

The previous prime is 680431. The next prime is 680443. The reversal of 680441 is 144086.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 674041 + 6400 = 821^2 + 80^2 .

It is a cyclic number.

It is not a de Polignac number, because 680441 - 2⁶ = 680377 is a prime.

Together with 680443, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680441.

It is not a weakly prime, because it can be changed into another prime (680443) 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, 340220 + 340221.

It is an arithmetic number, because the mean of its divisors is an integer number (340221).

2⁶⁸⁰⁴⁴¹ is an apocalyptic number.

It is an amenable number.

680441 is a deficient number, since it is larger than the sum of its proper divisors (1).

680441 is an equidigital number, since it uses as much as digits as its factorization.

680441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 680441 is about 824.8884773107. Note that the first 3 decimals coincide. The cubic root of 680441 is about 87.9555991576.

The spelling of 680441 in words is "six hundred eighty thousand, four hundred forty-one".