41338305 has 24 divisors (see below), whose sum is σ = 75869352. Its totient is φ = 20749824.

The previous prime is 41338303. The next prime is 41338307. The reversal of 41338305 is 50383314.

It is a happy number.

41338305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41338303) and next prime (41338307).

It can be written as a sum of positive squares in 4 ways, for example, as 19210689 + 22127616 = 4383^2 + 4704^2 .

It is not a de Polignac number, because 41338305 - 2¹ = 41338303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41338303) 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 23 ways as a sum of consecutive naturals, for example, 26254 + ... + 27783.

It is an arithmetic number, because the mean of its divisors is an integer number (3161223).

Almost surely, 2^41338305 is an apocalyptic number.

41338305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41338305 is a deficient number, since it is larger than the sum of its proper divisors (34531047).

41338305 is a wasteful number, since it uses less digits than its factorization.

41338305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54065 (or 54062 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 41338305 is about 6429.4871490656. The cubic root of 41338305 is about 345.7675412980.

The spelling of 41338305 in words is "forty-one million, three hundred thirty-eight thousand, three hundred five".