42585705 has 24 divisors (see below), whose sum is σ = 75813192. Its totient is φ = 22097664.

The previous prime is 42585701. The next prime is 42585709. The reversal of 42585705 is 50758524.

It is a happy number.

42585705 is a `hidden beast` number, since 4 + 2 + 585 + 70 + 5 = 666.

42585705 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 (42585701) and next prime (42585709).

It can be written as a sum of positive squares in 4 ways, for example, as 2782224 + 39803481 = 1668^2 + 6309^2 .

It is not a de Polignac number, because 42585705 - 2² = 42585701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42585705.

It is not an unprimeable number, because it can be changed into a prime (42585701) 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 23 ways as a sum of consecutive naturals, for example, 11124 + ... + 14453.

It is an arithmetic number, because the mean of its divisors is an integer number (3158883).

Almost surely, 2^42585705 is an apocalyptic number.

42585705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42585705 is a deficient number, since it is larger than the sum of its proper divisors (33227487).

42585705 is a wasteful number, since it uses less digits than its factorization.

42585705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25625 (or 25622 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 42585705 is about 6525.7723680803. The cubic root of 42585705 is about 349.2110255412.

The spelling of 42585705 in words is "forty-two million, five hundred eighty-five thousand, seven hundred five".