4242033 has 12 divisors (see below), whose sum is σ = 6339060. Its totient is φ = 2730336.

The previous prime is 4242031. The next prime is 4242059. The reversal of 4242033 is 3302424.

It can be written as a sum of positive squares in 2 ways, for example, as 2585664 + 1656369 = 1608^2 + 1287^2 .

It is not a de Polignac number, because 4242033 - 2¹ = 4242031 is a prime.

4242033 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4241997 and 4242015.

It is not an unprimeable number, because it can be changed into a prime (4242031) 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, 7866 + ... + 8387.

It is an arithmetic number, because the mean of its divisors is an integer number (528255).

Almost surely, 2^4242033 is an apocalyptic number.

It is an amenable number.

4242033 is a deficient number, since it is larger than the sum of its proper divisors (2097027).

4242033 is a wasteful number, since it uses less digits than its factorization.

4242033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16288 (or 16285 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 4242033 is about 2059.6196250764. The cubic root of 4242033 is about 161.8793111159.

Adding to 4242033 its reverse (3302424), we get a palindrome (7544457).

The spelling of 4242033 in words is "four million, two hundred forty-two thousand, thirty-three".