18505305 has 48 divisors (see below), whose sum is σ = 39486720. Its totient is φ = 7807104.

The previous prime is 18505303. The next prime is 18505307. The reversal of 18505305 is 50350581.

It is an interprime number because it is at equal distance from previous prime (18505303) and next prime (18505307).

It is not a de Polignac number, because 18505305 - 2¹ = 18505303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18505303) 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 47 ways as a sum of consecutive naturals, for example, 1836 + ... + 6354.

It is an arithmetic number, because the mean of its divisors is an integer number (822640).

Almost surely, 2^18505305 is an apocalyptic number.

18505305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18505305 is an abundant number, since it is smaller than the sum of its proper divisors (20981415).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18505305 is a wasteful number, since it uses less digits than its factorization.

18505305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4550 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 18505305 is about 4301.7792830409. The cubic root of 18505305 is about 264.5039015628.

Adding to 18505305 its reverse (50350581), we get a palindrome (68855886).

The spelling of 18505305 in words is "eighteen million, five hundred five thousand, three hundred five".