688001 has 4 divisors (see below), whose sum is σ = 690132. Its totient is φ = 685872.

The previous prime is 687977. The next prime is 688003. The reversal of 688001 is 100886.

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 384400 + 303601 = 620^2 + 551^2 .

It is a cyclic number.

It is not a de Polignac number, because 688001 - 2¹⁰ = 686977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (688003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 470 + ... + 1263.

It is an arithmetic number, because the mean of its divisors is an integer number (172533).

2⁶⁸⁸⁰⁰¹ is an apocalyptic number.

It is an amenable number.

688001 is a deficient number, since it is larger than the sum of its proper divisors (2131).

688001 is a wasteful number, since it uses less digits than its factorization.

688001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 688001 is about 829.4582569364. The cubic root of 688001 is about 88.2801420202.

Adding to 688001 its reverse (100886), we get a palindrome (788887).

The spelling of 688001 in words is "six hundred eighty-eight thousand, one".