688973 has 8 divisors (see below), whose sum is σ = 715392. Its totient is φ = 663136.

The previous prime is 688969. The next prime is 688979. The reversal of 688973 is 379886.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 688973 - 2² = 688969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 688973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4961 + ... + 5097.

It is an arithmetic number, because the mean of its divisors is an integer number (89424).

2⁶⁸⁸⁹⁷³ is an apocalyptic number.

It is an amenable number.

688973 is a deficient number, since it is larger than the sum of its proper divisors (26419).

688973 is a wasteful number, since it uses less digits than its factorization.

688973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291.

The product of its digits is 72576, while the sum is 41.

The square root of 688973 is about 830.0439747387. The cubic root of 688973 is about 88.3216961846.

It can be divided in two parts, 688 and 973, that added together give a palindrome (1661).

The spelling of 688973 in words is "six hundred eighty-eight thousand, nine hundred seventy-three".