688223 has 2 divisors, whose sum is σ = 688224. Its totient is φ = 688222.

The previous prime is 688217. The next prime is 688249. The reversal of 688223 is 322886.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 688223 - 2⁶ = 688159 is a prime.

It is a Sophie Germain prime.

It is a d-powerful number, because it can be written as 6 + 8 + 2¹⁷ + 8⁵ + 2¹⁹ + 3⁴ .

It is a zygodrome in base 4.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (688253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344111 + 344112.

It is an arithmetic number, because the mean of its divisors is an integer number (344112).

2⁶⁸⁸²²³ is an apocalyptic number.

688223 is a deficient number, since it is larger than the sum of its proper divisors (1).

688223 is an equidigital number, since it uses as much as digits as its factorization.

688223 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4608, while the sum is 29.

The square root of 688223 is about 829.5920684288. The cubic root of 688223 is about 88.2896362331.

The spelling of 688223 in words is "six hundred eighty-eight thousand, two hundred twenty-three".