12705585 has 32 divisors (see below), whose sum is σ = 21648000. Its totient is φ = 6345216.

The previous prime is 12705571. The next prime is 12705587. The reversal of 12705585 is 58550721.

It is a happy number.

It is not a de Polignac number, because 12705585 - 2⁴ = 12705569 is a prime.

It is a super-2 number, since 2×12705585² = 322863780384450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12705587) 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 31 ways as a sum of consecutive naturals, for example, 30861 + ... + 31269.

It is an arithmetic number, because the mean of its divisors is an integer number (676500).

Almost surely, 2^12705585 is an apocalyptic number.

12705585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12705585 is a deficient number, since it is larger than the sum of its proper divisors (8942415).

12705585 is a wasteful number, since it uses less digits than its factorization.

12705585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545.

The product of its (nonzero) digits is 14000, while the sum is 33.

The square root of 12705585 is about 3564.4894445067. The cubic root of 12705585 is about 233.3448509054.

The spelling of 12705585 in words is "twelve million, seven hundred five thousand, five hundred eighty-five".