668033 has 2 divisors, whose sum is σ = 668034. Its totient is φ = 668032.

The previous prime is 668029. The next prime is 668047. The reversal of 668033 is 330866.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 620944 + 47089 = 788^2 + 217^2 .

It is a cyclic number.

It is not a de Polignac number, because 668033 - 2² = 668029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 667993 and 668011.

It is not a weakly prime, because it can be changed into another prime (668093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 334016 + 334017.

It is an arithmetic number, because the mean of its divisors is an integer number (334017).

2⁶⁶⁸⁰³³ is an apocalyptic number.

It is an amenable number.

668033 is a deficient number, since it is larger than the sum of its proper divisors (1).

668033 is an equidigital number, since it uses as much as digits as its factorization.

668033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 668033 is about 817.3328575311. The cubic root of 668033 is about 87.4176858539.

Adding to 668033 its reverse (330866), we get a palindrome (998899).

The spelling of 668033 in words is "six hundred sixty-eight thousand, thirty-three".