541309 has 2 divisors, whose sum is σ = 541310. Its totient is φ = 541308.

The previous prime is 541301. The next prime is 541339. The reversal of 541309 is 903145.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 356409 + 184900 = 597^2 + 430^2 .

It is a cyclic number.

It is not a de Polignac number, because 541309 - 2³ = 541301 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 541309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (541301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270654 + 270655.

It is an arithmetic number, because the mean of its divisors is an integer number (270655).

2⁵⁴¹³⁰⁹ is an apocalyptic number.

It is an amenable number.

541309 is a deficient number, since it is larger than the sum of its proper divisors (1).

541309 is an equidigital number, since it uses as much as digits as its factorization.

541309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 541309 is about 735.7370454177. The cubic root of 541309 is about 81.4982748954.

It can be divided in two parts, 5 and 41309, that added together give a palindrome (41314).

The spelling of 541309 in words is "five hundred forty-one thousand, three hundred nine".