688433 has 2 divisors, whose sum is σ = 688434. Its totient is φ = 688432.

The previous prime is 688423. The next prime is 688447. The reversal of 688433 is 334886.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 388129 + 300304 = 623^2 + 548^2 .

It is a cyclic number.

It is not a de Polignac number, because 688433 - 2¹² = 684337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 688433.

It is not a weakly prime, because it can be changed into another prime (688403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 344216 + 344217.

It is an arithmetic number, because the mean of its divisors is an integer number (344217).

2⁶⁸⁸⁴³³ is an apocalyptic number.

It is an amenable number.

688433 is a deficient number, since it is larger than the sum of its proper divisors (1).

688433 is an equidigital number, since it uses as much as digits as its factorization.

688433 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 32.

The square root of 688433 is about 829.7186270056. The cubic root of 688433 is about 88.2986153664.

The spelling of 688433 in words is "six hundred eighty-eight thousand, four hundred thirty-three".