686893 has 2 divisors, whose sum is σ = 686894. Its totient is φ = 686892.

The previous prime is 686891. The next prime is 686897. The reversal of 686893 is 398686.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 393129 + 293764 = 627^2 + 542^2 .

It is a cyclic number.

It is not a de Polignac number, because 686893 - 2¹ = 686891 is a prime.

Together with 686891, it forms a pair of twin primes.

686893 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (686891) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 343446 + 343447.

It is an arithmetic number, because the mean of its divisors is an integer number (343447).

2⁶⁸⁶⁸⁹³ is an apocalyptic number.

It is an amenable number.

686893 is a deficient number, since it is larger than the sum of its proper divisors (1).

686893 is an equidigital number, since it uses as much as digits as its factorization.

686893 is an evil number, because the sum of its binary digits is even.

The product of its digits is 62208, while the sum is 40.

The square root of 686893 is about 828.7900819870. The cubic root of 686893 is about 88.2327259296.

The spelling of 686893 in words is "six hundred eighty-six thousand, eight hundred ninety-three".