4042033 has 2 divisors, whose sum is σ = 4042034. Its totient is φ = 4042032.

The previous prime is 4042019. The next prime is 4042037. The reversal of 4042033 is 3302404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2521744 + 1520289 = 1588^2 + 1233^2 .

It is a cyclic number.

It is not a de Polignac number, because 4042033 - 2⁵ = 4042001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4041998 and 4042016.

It is not a weakly prime, because it can be changed into another prime (4042037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2021016 + 2021017.

It is an arithmetic number, because the mean of its divisors is an integer number (2021017).

Almost surely, 2^4042033 is an apocalyptic number.

It is an amenable number.

4042033 is a deficient number, since it is larger than the sum of its proper divisors (1).

4042033 is an equidigital number, since it uses as much as digits as its factorization.

4042033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 4042033 is about 2010.4807882693. The cubic root of 4042033 is about 159.2941957681.

Adding to 4042033 its reverse (3302404), we get a palindrome (7344437).

The spelling of 4042033 in words is "four million, forty-two thousand, thirty-three".