541809 has 10 divisors (see below), whose sum is σ = 809490. Its totient is φ = 361152.

The previous prime is 541799. The next prime is 541817. The reversal of 541809 is 908145.

It can be written as a sum of positive squares in only one way, i.e., 518400 + 23409 = 720^2 + 153^2 .

It is not a de Polignac number, because 541809 - 2⁵ = 541777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 541809.

It is not an unprimeable number, because it can be changed into a prime (541859) 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 in 9 ways as a sum of consecutive naturals, for example, 3264 + ... + 3425.

It is an arithmetic number, because the mean of its divisors is an integer number (80949).

2⁵⁴¹⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

541809 is a deficient number, since it is larger than the sum of its proper divisors (267681).

541809 is an equidigital number, since it uses as much as digits as its factorization.

541809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6701 (or 6692 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 541809 is about 736.0767623013. The cubic root of 541809 is about 81.5233601347.

It can be divided in two parts, 5 and 41809, that added together give a palindrome (41814).

The spelling of 541809 in words is "five hundred forty-one thousand, eight hundred nine".