4257585 has 12 divisors (see below), whose sum is σ = 7379892. Its totient is φ = 2270688.

The previous prime is 4257569. The next prime is 4257587. The reversal of 4257585 is 5857524.

It is a happy number.

4257585 is a `hidden beast` number, since 4 + 2 + 575 + 85 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 431649 + 3825936 = 657^2 + 1956^2 .

It is not a de Polignac number, because 4257585 - 2⁴ = 4257569 is a prime.

4257585 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4257587) 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 11 ways as a sum of consecutive naturals, for example, 47262 + ... + 47351.

It is an arithmetic number, because the mean of its divisors is an integer number (614991).

Almost surely, 2^4257585 is an apocalyptic number.

4257585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4257585 is a deficient number, since it is larger than the sum of its proper divisors (3122307).

4257585 is a wasteful number, since it uses less digits than its factorization.

4257585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94624 (or 94621 counting only the distinct ones).

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

The square root of 4257585 is about 2063.3916254555. The cubic root of 4257585 is about 162.0768953650.

The spelling of 4257585 in words is "four million, two hundred fifty-seven thousand, five hundred eighty-five".