5800305 has 32 divisors (see below), whose sum is σ = 10900224. Its totient is φ = 2578176.

The previous prime is 5800303. The next prime is 5800321. The reversal of 5800305 is 5030085.

It is not a de Polignac number, because 5800305 - 2¹ = 5800303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5800303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3139 + ... + 4631.

It is an arithmetic number, because the mean of its divisors is an integer number (340632).

Almost surely, 2^5800305 is an apocalyptic number.

It is an amenable number.

5800305 is a deficient number, since it is larger than the sum of its proper divisors (5099919).

5800305 is a wasteful number, since it uses less digits than its factorization.

5800305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5800305 is about 2408.3822371044. The cubic root of 5800305 is about 179.6733272502.

It can be divided in two parts, 5800 and 305, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 5800305 in words is "five million, eight hundred thousand, three hundred five".