688003 has 2 divisors, whose sum is σ = 688004. Its totient is φ = 688002.

The previous prime is 687977. The next prime is 688013. The reversal of 688003 is 300886.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 688003 - 2¹⁷ = 556931 is a prime.

It is equal to p₅₅₆₆₃ and since 688003 and 55663 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (688013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344001 + 344002.

It is an arithmetic number, because the mean of its divisors is an integer number (344002).

2⁶⁸⁸⁰⁰³ is an apocalyptic number.

688003 is a deficient number, since it is larger than the sum of its proper divisors (1).

688003 is an equidigital number, since it uses as much as digits as its factorization.

688003 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 688003 is about 829.4594625417. The cubic root of 688003 is about 88.2802275628.

Adding to 688003 its reverse (300886), we get a palindrome (988889).

The spelling of 688003 in words is "six hundred eighty-eight thousand, three".