2057585 has 8 divisors (see below), whose sum is σ = 2529576. Its totient is φ = 1605760.

The previous prime is 2057569. The next prime is 2057597. The reversal of 2057585 is 5857502.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 2053489 = 64^2 + 1433^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2057585 - 2⁴ = 2057569 is a prime.

It is a super-3 number, since 3×2057585³ = 26133321441197029875, which contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4814 + ... + 5223.

It is an arithmetic number, because the mean of its divisors is an integer number (316197).

2^2057585 is an apocalyptic number.

It is an amenable number.

2057585 is a deficient number, since it is larger than the sum of its proper divisors (471991).

2057585 is a wasteful number, since it uses less digits than its factorization.

2057585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10083.

The product of its (nonzero) digits is 14000, while the sum is 32.

The square root of 2057585 is about 1434.4284576095. The cubic root of 2057585 is about 127.1898909796.

The spelling of 2057585 in words is "two million, fifty-seven thousand, five hundred eighty-five".