41405 has 18 divisors (see below), whose sum is σ = 62586. Its totient is φ = 26208.

The previous prime is 41399. The next prime is 41411. The reversal of 41405 is 50414.

It is an interprime number because it is at equal distance from previous prime (41399) and next prime (41411).

It can be written as a sum of positive squares in 3 ways, for example, as 196 + 41209 = 14^2 + 203^2 .

It is not a de Polignac number, because 41405 - 2⁴ = 41389 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 41405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3179 + ... + 3191.

It is an arithmetic number, because the mean of its divisors is an integer number (3477).

2⁴¹⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

41405 is a deficient number, since it is larger than the sum of its proper divisors (21181).

41405 is a wasteful number, since it uses less digits than its factorization.

41405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 41405 is about 203.4821859525. The cubic root of 41405 is about 34.5953394549.

Multiplying 41405 by its product of nonzero digits (80), we get a square (3312400 = 1820²).

Adding to 41405 its reverse (50414), we get a palindrome (91819).

Subtracting 41405 from its reverse (50414), we obtain a palindrome (9009).

The spelling of 41405 in words is "forty-one thousand, four hundred five".