42020033 has 12 divisors (see below), whose sum is σ = 46952724. Its totient is φ = 37567200.

The previous prime is 42020029. The next prime is 42020059. The reversal of 42020033 is 33002024.

It can be written as a sum of positive squares in 2 ways, for example, as 2982529 + 39037504 = 1727^2 + 6248^2 .

It is not a de Polignac number, because 42020033 - 2² = 42020029 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42020003) 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, 4535 + ... + 10227.

It is an arithmetic number, because the mean of its divisors is an integer number (3912727).

Almost surely, 2^42020033 is an apocalyptic number.

It is an amenable number.

42020033 is a deficient number, since it is larger than the sum of its proper divisors (4932691).

42020033 is a wasteful number, since it uses less digits than its factorization.

42020033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5776 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 42020033 is about 6482.2860936555. The cubic root of 42020033 is about 347.6579217690.

Adding to 42020033 its reverse (33002024), we get a palindrome (75022057).

Subtracting from 42020033 its reverse (33002024), we obtain a square (9018009 = 3003²).

The spelling of 42020033 in words is "forty-two million, twenty thousand, thirty-three".