42054633 has 10 divisors (see below), whose sum is σ = 62822474. Its totient is φ = 28036368.

The previous prime is 42054629. The next prime is 42054647. The reversal of 42054633 is 33645024.

42054633 is a `hidden beast` number, since 4 + 20 + 5 + 4 + 633 = 666.

42054633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 21233664 + 20820969 = 4608^2 + 4563^2 .

It is not a de Polignac number, because 42054633 - 2² = 42054629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42054597 and 42054606.

It is not an unprimeable number, because it can be changed into a prime (42054673) 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 9 ways as a sum of consecutive naturals, for example, 259516 + ... + 259677.

Almost surely, 2^42054633 is an apocalyptic number.

It is an amenable number.

42054633 is a deficient number, since it is larger than the sum of its proper divisors (20767841).

42054633 is an equidigital number, since it uses as much as digits as its factorization.

42054633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519205 (or 519196 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 42054633 is about 6484.9543560460. The cubic root of 42054633 is about 347.7533180449.

Adding to 42054633 its reverse (33645024), we get a palindrome (75699657).

The spelling of 42054633 in words is "forty-two million, fifty-four thousand, six hundred thirty-three".