42636033 has 24 divisors (see below), whose sum is σ = 67500576. Its totient is φ = 25718400.

The previous prime is 42636031. The next prime is 42636071. The reversal of 42636033 is 33063624.

It is not a de Polignac number, because 42636033 - 2¹ = 42636031 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42635988 and 42636006.

It is not an unprimeable number, because it can be changed into a prime (42636031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22966 + ... + 24752.

It is an arithmetic number, because the mean of its divisors is an integer number (2812524).

Almost surely, 2^42636033 is an apocalyptic number.

It is an amenable number.

42636033 is a deficient number, since it is larger than the sum of its proper divisors (24864543).

42636033 is a wasteful number, since it uses less digits than its factorization.

42636033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 42636033 is about 6529.6273247407. The cubic root of 42636033 is about 349.3485378323.

Adding to 42636033 its reverse (33063624), we get a palindrome (75699657).

It can be divided in two parts, 4263 and 6033, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 42636033 in words is "forty-two million, six hundred thirty-six thousand, thirty-three".