42638635 has 32 divisors (see below), whose sum is σ = 59657472. Its totient is φ = 28968960.

The previous prime is 42638633. The next prime is 42638639. The reversal of 42638635 is 53683624.

42638635 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 42638635 - 2¹ = 42638633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42638594 and 42638603.

It is not an unprimeable number, because it can be changed into a prime (42638633) 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 31 ways as a sum of consecutive naturals, for example, 51525 + ... + 52345.

It is an arithmetic number, because the mean of its divisors is an integer number (1864296).

Almost surely, 2^42638635 is an apocalyptic number.

42638635 is a deficient number, since it is larger than the sum of its proper divisors (17018837).

42638635 is a wasteful number, since it uses less digits than its factorization.

42638635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903.

The product of its digits is 103680, while the sum is 37.

The square root of 42638635 is about 6529.8265673753. The cubic root of 42638635 is about 349.3556443910.

The spelling of 42638635 in words is "forty-two million, six hundred thirty-eight thousand, six hundred thirty-five".