680129 has 2 divisors, whose sum is σ = 680130. Its totient is φ = 680128.

The previous prime is 680123. The next prime is 680159. The reversal of 680129 is 921086.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 425104 + 255025 = 652^2 + 505^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-680129 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 680098 and 680107.

It is not a weakly prime, because it can be changed into another prime (680123) 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, 340064 + 340065.

It is an arithmetic number, because the mean of its divisors is an integer number (340065).

2⁶⁸⁰¹²⁹ is an apocalyptic number.

It is an amenable number.

680129 is a deficient number, since it is larger than the sum of its proper divisors (1).

680129 is an equidigital number, since it uses as much as digits as its factorization.

680129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 680129 is about 824.6993391534. The cubic root of 680129 is about 87.9421537879.

The spelling of 680129 in words is "six hundred eighty thousand, one hundred twenty-nine".