680313 has 8 divisors (see below), whose sum is σ = 929376. Its totient is φ = 442400.

The previous prime is 680299. The next prime is 680321. The reversal of 680313 is 313086.

680313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 680313 - 2⁴ = 680297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 680313.

It is not an unprimeable number, because it can be changed into a prime (680353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2643 + ... + 2888.

It is an arithmetic number, because the mean of its divisors is an integer number (116172).

2⁶⁸⁰³¹³ is an apocalyptic number.

It is an amenable number.

680313 is a deficient number, since it is larger than the sum of its proper divisors (249063).

680313 is a wasteful number, since it uses less digits than its factorization.

680313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5575.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 680313 is about 824.8108874160. The cubic root of 680313 is about 87.9500836058.

Adding to 680313 its reverse (313086), we get a palindrome (993399).

The spelling of 680313 in words is "six hundred eighty thousand, three hundred thirteen".