42638535 has 32 divisors (see below), whose sum is σ = 76412160. Its totient is φ = 22557600.

The previous prime is 42638521. The next prime is 42638543. The reversal of 42638535 is 53583624.

It is a happy number.

42638535 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 42638535 - 2⁶ = 42638471 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42638535.

It is a congruent number.

It is an unprimeable number.

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, 16480 + ... + 18890.

It is an arithmetic number, because the mean of its divisors is an integer number (2387880).

Almost surely, 2^42638535 is an apocalyptic number.

42638535 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42638535 is a deficient number, since it is larger than the sum of its proper divisors (33773625).

42638535 is a wasteful number, since it uses less digits than its factorization.

42638535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2550 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 42638535 is about 6529.8189101996. The cubic root of 42638535 is about 349.3553712772.

The spelling of 42638535 in words is "forty-two million, six hundred thirty-eight thousand, five hundred thirty-five".