682009 has 2 divisors, whose sum is σ = 682010. Its totient is φ = 682008.

The previous prime is 682001. The next prime is 682037. The reversal of 682009 is 900286.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 403225 + 278784 = 635^2 + 528^2 .

It is a cyclic number.

It is not a de Polignac number, because 682009 - 2³ = 682001 is a prime.

682009 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (682001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 341004 + 341005.

It is an arithmetic number, because the mean of its divisors is an integer number (341005).

2⁶⁸²⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

682009 is a deficient number, since it is larger than the sum of its proper divisors (1).

682009 is an equidigital number, since it uses as much as digits as its factorization.

682009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 682009 is about 825.8383619087. The cubic root of 682009 is about 88.0231086006.

The spelling of 682009 in words is "six hundred eighty-two thousand, nine".