42534585 has 32 divisors (see below), whose sum is σ = 75888000. Its totient is φ = 22603968.

The previous prime is 42534581. The next prime is 42534587. The reversal of 42534585 is 58543524.

42534585 is a `hidden beast` number, since 42 + 5 + 34 + 585 = 666.

It is not a de Polignac number, because 42534585 - 2² = 42534581 is a prime.

It is a super-2 number, since 2×42534585² = 3618381842244450, which contains 22 as substring.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (42534581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68406 + ... + 69024.

It is an arithmetic number, because the mean of its divisors is an integer number (2371500).

Almost surely, 2^42534585 is an apocalyptic number.

42534585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42534585 is a deficient number, since it is larger than the sum of its proper divisors (33353415).

42534585 is a wasteful number, since it uses less digits than its factorization.

42534585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1136 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 42534585 is about 6521.8544141985. The cubic root of 42534585 is about 349.0712382937.

The spelling of 42534585 in words is "forty-two million, five hundred thirty-four thousand, five hundred eighty-five".