5005305 has 12 divisors (see below), whose sum is σ = 8675940. Its totient is φ = 2669472.

The previous prime is 5005289. The next prime is 5005307. The reversal of 5005305 is 5035005.

It can be written as a sum of positive squares in 2 ways, for example, as 2223081 + 2782224 = 1491^2 + 1668^2 .

It is not a de Polignac number, because 5005305 - 2⁴ = 5005289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5005307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55570 + ... + 55659.

It is an arithmetic number, because the mean of its divisors is an integer number (722995).

Almost surely, 2^5005305 is an apocalyptic number.

It is an amenable number.

5005305 is a deficient number, since it is larger than the sum of its proper divisors (3670635).

5005305 is a wasteful number, since it uses less digits than its factorization.

5005305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111240 (or 111237 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 5005305 is about 2237.2538970801. The cubic root of 5005305 is about 171.0580494412.

The spelling of 5005305 in words is "five million, five thousand, three hundred five".