10055585 has 16 divisors (see below), whose sum is σ = 12852432. Its totient is φ = 7526400.

The previous prime is 10055569. The next prime is 10055587. The reversal of 10055585 is 58555001.

It can be written as a sum of positive squares in 8 ways, for example, as 364816 + 9690769 = 604^2 + 3113^2 .

It is not a de Polignac number, because 10055585 - 2⁴ = 10055569 is a prime.

It is a super-2 number, since 2×10055585² = 202229579384450, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10055587) 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 15 ways as a sum of consecutive naturals, for example, 23675 + ... + 24095.

It is an arithmetic number, because the mean of its divisors is an integer number (803277).

Almost surely, 2^10055585 is an apocalyptic number.

It is an amenable number.

10055585 is a deficient number, since it is larger than the sum of its proper divisors (2796847).

10055585 is a wasteful number, since it uses less digits than its factorization.

10055585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724.

The product of its (nonzero) digits is 5000, while the sum is 29.

The square root of 10055585 is about 3171.0542411003. The cubic root of 10055585 is about 215.8419125040.

It can be divided in two parts, 1005 and 5585, that multiplied together give a triangular number (5612925 = T₃₃₅₀).

The spelling of 10055585 in words is "ten million, fifty-five thousand, five hundred eighty-five".