4132033 has 2 divisors, whose sum is σ = 4132034. Its totient is φ = 4132032.

The previous prime is 4132031. The next prime is 4132043. The reversal of 4132033 is 3302314.

4132033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3196944 + 935089 = 1788^2 + 967^2 .

It is a cyclic number.

It is not a de Polignac number, because 4132033 - 2¹ = 4132031 is a prime.

Together with 4132031, it forms a pair of twin primes.

4132033 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4131998 and 4132016.

It is not a weakly prime, because it can be changed into another prime (4132031) 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 as a sum of consecutive naturals, namely, 2066016 + 2066017.

It is an arithmetic number, because the mean of its divisors is an integer number (2066017).

Almost surely, 2^4132033 is an apocalyptic number.

It is an amenable number.

4132033 is a deficient number, since it is larger than the sum of its proper divisors (1).

4132033 is an equidigital number, since it uses as much as digits as its factorization.

4132033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 4132033 is about 2032.7402687013. The cubic root of 4132033 is about 160.4678105624.

Adding to 4132033 its reverse (3302314), we get a palindrome (7434347).

The spelling of 4132033 in words is "four million, one hundred thirty-two thousand, thirty-three".