688067 has 2 divisors, whose sum is σ = 688068. Its totient is φ = 688066.

The previous prime is 688063. The next prime is 688073. The reversal of 688067 is 760886.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 688067 - 2² = 688063 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688067.

It is not a weakly prime, because it can be changed into another prime (688063) 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, 344033 + 344034.

It is an arithmetic number, because the mean of its divisors is an integer number (344034).

2⁶⁸⁸⁰⁶⁷ is an apocalyptic number.

688067 is a deficient number, since it is larger than the sum of its proper divisors (1).

688067 is an equidigital number, since it uses as much as digits as its factorization.

688067 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 688067 is about 829.4980409862. The cubic root of 688067 is about 88.2829648373.

The spelling of 688067 in words is "six hundred eighty-eight thousand, sixty-seven".