42033903 has 16 divisors (see below), whose sum is σ = 58661376. Its totient is φ = 26722080.

The previous prime is 42033863. The next prime is 42033907. The reversal of 42033903 is 30933024.

42033903 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42033903 - 2¹² = 42029807 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42033907) 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 in 15 ways as a sum of consecutive naturals, for example, 28326 + ... + 29772.

It is an arithmetic number, because the mean of its divisors is an integer number (3666336).

Almost surely, 2^42033903 is an apocalyptic number.

42033903 is a deficient number, since it is larger than the sum of its proper divisors (16627473).

42033903 is a wasteful number, since it uses less digits than its factorization.

42033903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894.

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 42033903 is about 6483.3558440055. The cubic root of 42033903 is about 347.6961692792.

Adding to 42033903 its reverse (30933024), we get a palindrome (72966927).

The spelling of 42033903 in words is "forty-two million, thirty-three thousand, nine hundred three".