668133 has 12 divisors (see below), whose sum is σ = 981708. Its totient is φ = 437760.

The previous prime is 668111. The next prime is 668141. The reversal of 668133 is 331866.

668133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 101124 + 567009 = 318^2 + 753^2 .

It is not a de Polignac number, because 668133 - 2⁶ = 668069 is a prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 668097 and 668106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60 + ... + 1157.

It is an arithmetic number, because the mean of its divisors is an integer number (81809).

2⁶⁶⁸¹³³ is an apocalyptic number.

It is an amenable number.

668133 is a deficient number, since it is larger than the sum of its proper divisors (313575).

668133 is a wasteful number, since it uses less digits than its factorization.

668133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1281 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 668133 is about 817.3940298289. The cubic root of 668133 is about 87.4220475808.

Adding to 668133 its reverse (331866), we get a palindrome (999999).

The spelling of 668133 in words is "six hundred sixty-eight thousand, one hundred thirty-three".