41005305 has 64 divisors (see below), whose sum is σ = 81181440. Its totient is φ = 19468800.

The previous prime is 41005303. The next prime is 41005319. The reversal of 41005305 is 50350014.

It is not a de Polignac number, because 41005305 - 2¹ = 41005303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41005301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78445 + ... + 78965.

It is an arithmetic number, because the mean of its divisors is an integer number (1268460).

Almost surely, 2^41005305 is an apocalyptic number.

41005305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41005305 is a deficient number, since it is larger than the sum of its proper divisors (40176135).

41005305 is a wasteful number, since it uses less digits than its factorization.

41005305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 41005305 is about 6403.5384749371. The cubic root of 41005305 is about 344.8365955859.

Adding to 41005305 its reverse (50350014), we get a palindrome (91355319).

The spelling of 41005305 in words is "forty-one million, five thousand, three hundred five".