687017 has 2 divisors, whose sum is σ = 687018. Its totient is φ = 687016.

The previous prime is 687013. The next prime is 687019. The reversal of 687017 is 710786.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 614656 + 72361 = 784^2 + 269^2 .

It is a cyclic number.

It is not a de Polignac number, because 687017 - 2² = 687013 is a prime.

Together with 687019, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 687017.

It is not a weakly prime, because it can be changed into another prime (687013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 343508 + 343509.

It is an arithmetic number, because the mean of its divisors is an integer number (343509).

2⁶⁸⁷⁰¹⁷ is an apocalyptic number.

It is an amenable number.

687017 is a deficient number, since it is larger than the sum of its proper divisors (1).

687017 is an equidigital number, since it uses as much as digits as its factorization.

687017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 687017 is about 828.8648864562. The cubic root of 687017 is about 88.2380349563.

The spelling of 687017 in words is "six hundred eighty-seven thousand, seventeen".