41905 has 12 divisors (see below), whose sum is σ = 55260. Its totient is φ = 30464.

The previous prime is 41903. The next prime is 41911. The reversal of 41905 is 50914.

41905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

41905 is a nontrivial binomial coefficient, being equal to C(290, 2).

It can be written as a sum of positive squares in 6 ways, for example, as 2304 + 39601 = 48^2 + 199^2 .

It is not a de Polignac number, because 41905 - 2¹ = 41903 is a prime.

41905 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1431 + ... + 1459.

It is an arithmetic number, because the mean of its divisors is an integer number (4605).

2⁴¹⁹⁰⁵ is an apocalyptic number.

41905 is the 289-th triangular number and also the 145-th hexagonal number.

41905 is the 97-th centered nonagonal number.

It is an amenable number.

41905 is a deficient number, since it is larger than the sum of its proper divisors (13355).

41905 is a wasteful number, since it uses less digits than its factorization.

41905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 41905 is about 204.7071078395. The cubic root of 41905 is about 34.7340385265.

Subtracting 41905 from its reverse (50914), we obtain a palindrome (9009).

It can be divided in two parts, 41 and 905, that added together give a triangular number (946 = T₄₃).

The spelling of 41905 in words is "forty-one thousand, nine hundred five".