41809 has 2 divisors, whose sum is σ = 41810. Its totient is φ = 41808.

The previous prime is 41801. The next prime is 41813. The reversal of 41809 is 90814.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 9409 = 180^2 + 97^2 .

It is a cyclic number.

It is not a de Polignac number, because 41809 - 2³ = 41801 is a prime.

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 41809.

It is not a weakly prime, because it can be changed into another prime (41801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20904 + 20905.

It is an arithmetic number, because the mean of its divisors is an integer number (20905).

2⁴¹⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

41809 is a deficient number, since it is larger than the sum of its proper divisors (1).

41809 is an equidigital number, since it uses as much as digits as its factorization.

41809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 41809 is about 204.4724920374. The cubic root of 41809 is about 34.7074942219.

The spelling of 41809 in words is "forty-one thousand, eight hundred nine".