688763 has 2 divisors, whose sum is σ = 688764. Its totient is φ = 688762.

The previous prime is 688757. The next prime is 688777. The reversal of 688763 is 367886.

688763 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 688763 - 2⁴ = 688747 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688763.

It is not a weakly prime, because it can be changed into another prime (688733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344381 + 344382.

It is an arithmetic number, because the mean of its divisors is an integer number (344382).

2⁶⁸⁸⁷⁶³ is an apocalyptic number.

688763 is a deficient number, since it is larger than the sum of its proper divisors (1).

688763 is an equidigital number, since it uses as much as digits as its factorization.

688763 is an evil number, because the sum of its binary digits is even.

The product of its digits is 48384, while the sum is 38.

The square root of 688763 is about 829.9174657760. The cubic root of 688763 is about 88.3127217444.

The spelling of 688763 in words is "six hundred eighty-eight thousand, seven hundred sixty-three".