688321 has 4 divisors (see below), whose sum is σ = 718272. Its totient is φ = 658372.

The previous prime is 688309. The next prime is 688333. The reversal of 688321 is 123886.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (688309) and next prime (688333).

It is a cyclic number.

It is not a de Polignac number, because 688321 - 2⁹ = 687809 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 688321.

It is not an unprimeable number, because it can be changed into a prime (688621) 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, 14941 + ... + 14986.

It is an arithmetic number, because the mean of its divisors is an integer number (179568).

2⁶⁸⁸³²¹ is an apocalyptic number.

It is an amenable number.

688321 is a deficient number, since it is larger than the sum of its proper divisors (29951).

688321 is a wasteful number, since it uses less digits than its factorization.

688321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29950.

The product of its digits is 2304, while the sum is 28.

The square root of 688321 is about 829.6511315005. The cubic root of 688321 is about 88.2938267226.

The spelling of 688321 in words is "six hundred eighty-eight thousand, three hundred twenty-one".