688033 has 4 divisors (see below), whose sum is σ = 702720. Its totient is φ = 673348.

The previous prime is 688031. The next prime is 688063. The reversal of 688033 is 330886.

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, and also an emirpimes, since its reverse is a distinct semiprime: 330886 = 2 ⋅165443.

It is a cyclic number.

It is not a de Polignac number, because 688033 - 2¹ = 688031 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 687992 and 688010.

It is not an unprimeable number, because it can be changed into a prime (688031) 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, 7273 + ... + 7366.

It is an arithmetic number, because the mean of its divisors is an integer number (175680).

2⁶⁸⁸⁰³³ is an apocalyptic number.

It is an amenable number.

688033 is a deficient number, since it is larger than the sum of its proper divisors (14687).

688033 is a wasteful number, since it uses less digits than its factorization.

688033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14686.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 688033 is about 829.4775464110. The cubic root of 688033 is about 88.2815106814.

The spelling of 688033 in words is "six hundred eighty-eight thousand, thirty-three".