688333 has 2 divisors, whose sum is σ = 688334. Its totient is φ = 688332.

The previous prime is 688309. The next prime is 688339. The reversal of 688333 is 333886.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 636804 + 51529 = 798^2 + 227^2 .

It is a cyclic number.

It is not a de Polignac number, because 688333 - 2¹⁷ = 557261 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 688295 and 688304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344166 + 344167.

It is an arithmetic number, because the mean of its divisors is an integer number (344167).

2⁶⁸⁸³³³ is an apocalyptic number.

It is an amenable number.

688333 is a deficient number, since it is larger than the sum of its proper divisors (1).

688333 is an equidigital number, since it uses as much as digits as its factorization.

688333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10368, while the sum is 31.

The square root of 688333 is about 829.6583634244. The cubic root of 688333 is about 88.2943398164.

The spelling of 688333 in words is "six hundred eighty-eight thousand, three hundred thirty-three".