684713 has 2 divisors, whose sum is σ = 684714. Its totient is φ = 684712.

The previous prime is 684683. The next prime is 684727. The reversal of 684713 is 317486.

684713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 683929 + 784 = 827^2 + 28^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-684713 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 684713.

It is not a weakly prime, because it can be changed into another prime (684773) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 342356 + 342357.

It is an arithmetic number, because the mean of its divisors is an integer number (342357).

2⁶⁸⁴⁷¹³ is an apocalyptic number.

It is an amenable number.

684713 is a deficient number, since it is larger than the sum of its proper divisors (1).

684713 is an equidigital number, since it uses as much as digits as its factorization.

684713 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4032, while the sum is 29.

The square root of 684713 is about 827.4738666568. The cubic root of 684713 is about 88.1392852787.

The spelling of 684713 in words is "six hundred eighty-four thousand, seven hundred thirteen".