688193 has 4 divisors (see below), whose sum is σ = 750768. Its totient is φ = 625620.

The previous prime is 688187. The next prime is 688201. The reversal of 688193 is 391886.

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 a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-688193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (688133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31271 + ... + 31292.

It is an arithmetic number, because the mean of its divisors is an integer number (187692).

2⁶⁸⁸¹⁹³ is an apocalyptic number.

It is an amenable number.

688193 is a deficient number, since it is larger than the sum of its proper divisors (62575).

688193 is a wasteful number, since it uses less digits than its factorization.

688193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62574.

The product of its digits is 10368, while the sum is 35.

The square root of 688193 is about 829.5739870560. The cubic root of 688193 is about 88.2883533507.

The spelling of 688193 in words is "six hundred eighty-eight thousand, one hundred ninety-three".