684017 has 2 divisors, whose sum is σ = 684018. Its totient is φ = 684016.

The previous prime is 684007. The next prime is 684037. The reversal of 684017 is 710486.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 678976 + 5041 = 824^2 + 71^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-684017 is a prime.

It is not a weakly prime, because it can be changed into another prime (684007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 342008 + 342009.

It is an arithmetic number, because the mean of its divisors is an integer number (342009).

2⁶⁸⁴⁰¹⁷ is an apocalyptic number.

It is an amenable number.

684017 is a deficient number, since it is larger than the sum of its proper divisors (1).

684017 is an equidigital number, since it uses as much as digits as its factorization.

684017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 684017 is about 827.0532026418. The cubic root of 684017 is about 88.1094110883.

The spelling of 684017 in words is "six hundred eighty-four thousand, seventeen".