42538033 has 8 divisors (see below), whose sum is σ = 43736616. Its totient is φ = 41347200.

The previous prime is 42538021. The next prime is 42538037. The reversal of 42538033 is 33083524.

It can be written as a sum of positive squares in 4 ways, for example, as 4875264 + 37662769 = 2208^2 + 6137^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42538033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42537992 and 42538010.

It is not an unprimeable number, because it can be changed into a prime (42538037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10243 + ... + 13783.

It is an arithmetic number, because the mean of its divisors is an integer number (5467077).

Almost surely, 2^42538033 is an apocalyptic number.

It is an amenable number.

42538033 is a deficient number, since it is larger than the sum of its proper divisors (1198583).

42538033 is a wasteful number, since it uses less digits than its factorization.

42538033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875.

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 42538033 is about 6522.1187508355. The cubic root of 42538033 is about 349.0806703445.

The spelling of 42538033 in words is "forty-two million, five hundred thirty-eight thousand, thirty-three".