688133 has 2 divisors, whose sum is σ = 688134. Its totient is φ = 688132.

The previous prime is 688111. The next prime is 688139. The reversal of 688133 is 331886.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 574564 + 113569 = 758^2 + 337^2 .

It is a cyclic number.

It is not a de Polignac number, because 688133 - 2¹⁰ = 687109 is a prime.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 688096 and 688105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344066 + 344067.

It is an arithmetic number, because the mean of its divisors is an integer number (344067).

2⁶⁸⁸¹³³ is an apocalyptic number.

It is an amenable number.

688133 is a deficient number, since it is larger than the sum of its proper divisors (1).

688133 is an equidigital number, since it uses as much as digits as its factorization.

688133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 29.

The square root of 688133 is about 829.5378231280. The cubic root of 688133 is about 88.2857874740.

The spelling of 688133 in words is "six hundred eighty-eight thousand, one hundred thirty-three".