42735585 has 16 divisors (see below), whose sum is σ = 68497344. Its totient is φ = 22752192.

The previous prime is 42735533. The next prime is 42735599. The reversal of 42735585 is 58553724.

It is not a de Polignac number, because 42735585 - 2⁷ = 42735457 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7614 + ... + 11976.

It is an arithmetic number, because the mean of its divisors is an integer number (4281084).

Almost surely, 2^42735585 is an apocalyptic number.

It is an amenable number.

42735585 is a deficient number, since it is larger than the sum of its proper divisors (25761759).

42735585 is a wasteful number, since it uses less digits than its factorization.

42735585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024.

The product of its digits is 168000, while the sum is 39.

The square root of 42735585 is about 6537.2459797685. The cubic root of 42735585 is about 349.6202275273.

The spelling of 42735585 in words is "forty-two million, seven hundred thirty-five thousand, five hundred eighty-five".