688627 has 2 divisors, whose sum is σ = 688628. Its totient is φ = 688626.

The previous prime is 688621. The next prime is 688631. The reversal of 688627 is 726886.

688627 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 688627 - 2¹⁵ = 655859 is a prime.

It is not a weakly prime, because it can be changed into another prime (688621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344313 + 344314.

It is an arithmetic number, because the mean of its divisors is an integer number (344314).

2⁶⁸⁸⁶²⁷ is an apocalyptic number.

688627 is a deficient number, since it is larger than the sum of its proper divisors (1).

688627 is an equidigital number, since it uses as much as digits as its factorization.

688627 is an evil number, because the sum of its binary digits is even.

The product of its digits is 32256, while the sum is 37.

The square root of 688627 is about 829.8355258724. The cubic root of 688627 is about 88.3069087528.

The spelling of 688627 in words is "six hundred eighty-eight thousand, six hundred twenty-seven".