41205 has 16 divisors (see below), whose sum is σ = 68544. Its totient is φ = 21120.

The previous prime is 41203. The next prime is 41213. The reversal of 41205 is 50214.

41205 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41205 - 2¹ = 41203 is a prime.

It is a nialpdrome in base 15.

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41205.

It is not an unprimeable number, because it can be changed into a prime (41201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582 + ... + 648.

It is an arithmetic number, because the mean of its divisors is an integer number (4284).

2⁴¹²⁰⁵ is an apocalyptic number.

It is an amenable number.

41205 is a deficient number, since it is larger than the sum of its proper divisors (27339).

41205 is a wasteful number, since it uses less digits than its factorization.

41205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 41205 is about 202.9901475442. The cubic root of 41205 is about 34.5395471725.

Adding to 41205 its reverse (50214), we get a palindrome (91419).

Subtracting 41205 from its reverse (50214), we obtain a palindrome (9009).

The spelling of 41205 in words is "forty-one thousand, two hundred five".