42405675 has 96 divisors (see below), whose sum is σ = 82661376. Its totient is φ = 19008000.

The previous prime is 42405647. The next prime is 42405677. The reversal of 42405675 is 57650424.

42405675 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42405675 - 2¹⁶ = 42340139 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42405677) 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 95 ways as a sum of consecutive naturals, for example, 695145 + ... + 695205.

It is an arithmetic number, because the mean of its divisors is an integer number (861056).

Almost surely, 2^42405675 is an apocalyptic number.

42405675 is a deficient number, since it is larger than the sum of its proper divisors (40255701).

42405675 is a wasteful number, since it uses less digits than its factorization.

42405675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 42405675 is about 6511.9639894582. The cubic root of 42405675 is about 348.7182368523.

The spelling of 42405675 in words is "forty-two million, four hundred five thousand, six hundred seventy-five".