680321 has 2 divisors, whose sum is σ = 680322. Its totient is φ = 680320.

The previous prime is 680299. The next prime is 680327. The reversal of 680321 is 123086.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 672400 + 7921 = 820^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 680321 - 2¹⁰ = 679297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 680293 and 680302.

It is not a weakly prime, because it can be changed into another prime (680327) 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, 340160 + 340161.

It is an arithmetic number, because the mean of its divisors is an integer number (340161).

2⁶⁸⁰³²¹ is an apocalyptic number.

It is an amenable number.

680321 is a deficient number, since it is larger than the sum of its proper divisors (1).

680321 is an equidigital number, since it uses as much as digits as its factorization.

680321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 680321 is about 824.8157369983. The cubic root of 680321 is about 87.9504283480.

It can be divided in two parts, 680 and 321, that added together give a palindrome (1001).

The spelling of 680321 in words is "six hundred eighty thousand, three hundred twenty-one".