686117 has 2 divisors, whose sum is σ = 686118. Its totient is φ = 686116.

The previous prime is 686099. The next prime is 686131. The reversal of 686117 is 711686.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 649636 + 36481 = 806^2 + 191^2 .

It is a cyclic number.

It is not a de Polignac number, because 686117 - 2¹⁰ = 685093 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 686117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (686177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 343058 + 343059.

It is an arithmetic number, because the mean of its divisors is an integer number (343059).

2⁶⁸⁶¹¹⁷ is an apocalyptic number.

It is an amenable number.

686117 is a deficient number, since it is larger than the sum of its proper divisors (1).

686117 is an equidigital number, since it uses as much as digits as its factorization.

686117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2016, while the sum is 29.

The square root of 686117 is about 828.3217973710. The cubic root of 686117 is about 88.1994871791.

The spelling of 686117 in words is "six hundred eighty-six thousand, one hundred seventeen".