42354585 has 48 divisors (see below), whose sum is σ = 90365184. Its totient is φ = 17870976.

The previous prime is 42354583. The next prime is 42354601. The reversal of 42354585 is 58545324.

42354585 is a `hidden beast` number, since 4 + 23 + 54 + 585 = 666.

It is not a de Polignac number, because 42354585 - 2¹ = 42354583 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42354583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1077 + ... + 9266.

It is an arithmetic number, because the mean of its divisors is an integer number (1882608).

Almost surely, 2^42354585 is an apocalyptic number.

42354585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42354585 is an abundant number, since it is smaller than the sum of its proper divisors (48010599).

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

42354585 is a wasteful number, since it uses less digits than its factorization.

42354585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10374 (or 10371 counting only the distinct ones).

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

The square root of 42354585 is about 6508.0400275352. The cubic root of 42354585 is about 348.5781363086.

The spelling of 42354585 in words is "forty-two million, three hundred fifty-four thousand, five hundred eighty-five".