4133 has 2 divisors, whose sum is σ = 4134. Its totient is φ = 4132.

The previous prime is 4129. The next prime is 4139. The reversal of 4133 is 3314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3844 + 289 = 62^2 + 17^2 .

It is a cyclic number.

It is not a de Polignac number, because 4133 - 2² = 4129 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 4⁶ + 3² + 1 + 3³ .

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2066 + 2067.

It is an arithmetic number, because the mean of its divisors is an integer number (2067).

It is an amenable number.

4133 is a deficient number, since it is larger than the sum of its proper divisors (1).

4133 is an equidigital number, since it uses as much as digits as its factorization.

4133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36, while the sum is 11.

The square root of 4133 is about 64.2884126418. The cubic root of 4133 is about 16.0480327425.

Adding to 4133 its reverse (3314), we get a palindrome (7447).

The spelling of 4133 in words is "four thousand, one hundred thirty-three".