686801 has 2 divisors, whose sum is σ = 686802. Its totient is φ = 686800.

The previous prime is 686797. The next prime is 686837. The reversal of 686801 is 108686.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 638401 + 48400 = 799^2 + 220^2 .

It is a cyclic number.

It is not a de Polignac number, because 686801 - 2² = 686797 is a prime.

It is a super-2 number, since 2×686801² = 943391227202, which contains 22 as substring.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 343400 + 343401.

It is an arithmetic number, because the mean of its divisors is an integer number (343401).

2⁶⁸⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

686801 is a deficient number, since it is larger than the sum of its proper divisors (1).

686801 is an equidigital number, since it uses as much as digits as its factorization.

686801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 686801 is about 828.7345775337. The cubic root of 686801 is about 88.2287865615.

The spelling of 686801 in words is "six hundred eighty-six thousand, eight hundred one".