688733 has 2 divisors, whose sum is σ = 688734. Its totient is φ = 688732.

The previous prime is 688729. The next prime is 688741. The reversal of 688733 is 337886.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 597529 + 91204 = 773^2 + 302^2 .

It is a cyclic number.

It is not a de Polignac number, because 688733 - 2² = 688729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 688693 and 688702.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344366 + 344367.

It is an arithmetic number, because the mean of its divisors is an integer number (344367).

2⁶⁸⁸⁷³³ is an apocalyptic number.

It is an amenable number.

688733 is a deficient number, since it is larger than the sum of its proper divisors (1).

688733 is an equidigital number, since it uses as much as digits as its factorization.

688733 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 35.

The square root of 688733 is about 829.8993914927. The cubic root of 688733 is about 88.3114395326.

The spelling of 688733 in words is "six hundred eighty-eight thousand, seven hundred thirty-three".