688829 has 4 divisors (see below), whose sum is σ = 707484. Its totient is φ = 670176.

The previous prime is 688813. The next prime is 688861. The reversal of 688829 is 928886.

It is a happy number.

688829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 648025 + 40804 = 805^2 + 202^2 .

It is a cyclic number.

It is not a de Polignac number, because 688829 - 2⁴ = 688813 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688829.

It is not an unprimeable number, because it can be changed into a prime (688889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9272 + ... + 9345.

It is an arithmetic number, because the mean of its divisors is an integer number (176871).

2⁶⁸⁸⁸²⁹ is an apocalyptic number.

It is an amenable number.

688829 is a deficient number, since it is larger than the sum of its proper divisors (18655).

688829 is a wasteful number, since it uses less digits than its factorization.

688829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18654.

The product of its digits is 55296, while the sum is 41.

The square root of 688829 is about 829.9572278136. The cubic root of 688829 is about 88.3155424793.

The spelling of 688829 in words is "six hundred eighty-eight thousand, eight hundred twenty-nine".