42571935 has 72 divisors (see below), whose sum is σ = 88030800. Its totient is φ = 18966528.

The previous prime is 42571931. The next prime is 42571939. The reversal of 42571935 is 53917524.

42571935 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42571931) and next prime (42571939).

It is not a de Polignac number, because 42571935 - 2² = 42571931 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42571935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42571931) 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 71 ways as a sum of consecutive naturals, for example, 94591 + ... + 95039.

It is an arithmetic number, because the mean of its divisors is an integer number (1222650).

Almost surely, 2^42571935 is an apocalyptic number.

42571935 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42571935 is an abundant number, since it is smaller than the sum of its proper divisors (45458865).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42571935 is a wasteful number, since it uses less digits than its factorization.

42571935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 507 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 42571935 is about 6524.7172352524. The cubic root of 42571935 is about 349.1733825950.

The spelling of 42571935 in words is "forty-two million, five hundred seventy-one thousand, nine hundred thirty-five".