5005585 has 16 divisors (see below), whose sum is σ = 6595344. Its totient is φ = 3624192.

The previous prime is 5005549. The next prime is 5005613. The reversal of 5005585 is 5855005.

It can be written as a sum of positive squares in 8 ways, for example, as 130321 + 4875264 = 361^2 + 2208^2 .

It is not a de Polignac number, because 5005585 - 2¹³ = 4997393 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2719 + ... + 4171.

It is an arithmetic number, because the mean of its divisors is an integer number (412209).

Almost surely, 2^5005585 is an apocalyptic number.

It is an amenable number.

5005585 is a deficient number, since it is larger than the sum of its proper divisors (1589759).

5005585 is a wasteful number, since it uses less digits than its factorization.

5005585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524.

The product of its (nonzero) digits is 5000, while the sum is 28.

The square root of 5005585 is about 2237.3164729202. The cubic root of 5005585 is about 171.0612390810.

The spelling of 5005585 in words is "five million, five thousand, five hundred eighty-five".