688034033 has 8 divisors (see below), whose sum is σ = 694750056. Its totient is φ = 681350400.

The previous prime is 688034021. The next prime is 688034059. The reversal of 688034033 is 330430886.

It can be written as a sum of positive squares in 4 ways, for example, as 35129329 + 652904704 = 5927^2 + 25552^2 .

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 688034033 - 2⁸ = 688033777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 688033984 and 688034002.

It is not an unprimeable number, because it can be changed into a prime (688034003) 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 7 ways as a sum of consecutive naturals, for example, 35735 + ... + 51507.

It is an arithmetic number, because the mean of its divisors is an integer number (86843757).

Almost surely, 2^688034033 is an apocalyptic number.

It is an amenable number.

688034033 is a deficient number, since it is larger than the sum of its proper divisors (6716023).

688034033 is a wasteful number, since it uses less digits than its factorization.

688034033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16195.

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 688034033 is about 26230.4028371659. The cubic root of 688034033 is about 882.8155486274.

The spelling of 688034033 in words is "six hundred eighty-eight million, thirty-four thousand, thirty-three".