688208629 has 2 divisors, whose sum is σ = 688208630. Its totient is φ = 688208628.

The previous prime is 688208567. The next prime is 688208641. The reversal of 688208629 is 926802886.

688208629 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 can be written as a sum of positive squares in only one way, i.e., 471324100 + 216884529 = 21710^2 + 14727^2 .

It is a cyclic number.

It is not a de Polignac number, because 688208629 - 2⁹ = 688208117 is a prime.

It is a super-2 number, since 2×688208629² = 947262234060119282, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688208929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344104314 + 344104315.

It is an arithmetic number, because the mean of its divisors is an integer number (344104315).

Almost surely, 2^688208629 is an apocalyptic number.

It is an amenable number.

688208629 is a deficient number, since it is larger than the sum of its proper divisors (1).

688208629 is an equidigital number, since it uses as much as digits as its factorization.

688208629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 663552, while the sum is 49.

The square root of 688208629 is about 26233.7307487898. The cubic root of 688208629 is about 882.8902169432.

The spelling of 688208629 in words is "six hundred eighty-eight million, two hundred eight thousand, six hundred twenty-nine".