404317541 has 2 divisors, whose sum is σ = 404317542. Its totient is φ = 404317540.

The previous prime is 404317489. The next prime is 404317553. The reversal of 404317541 is 145713404.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 314920516 + 89397025 = 17746^2 + 9455^2 .

It is a cyclic number.

It is not a de Polignac number, because 404317541 - 2¹⁸ = 404055397 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404317561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202158770 + 202158771.

It is an arithmetic number, because the mean of its divisors is an integer number (202158771).

Almost surely, 2^404317541 is an apocalyptic number.

It is an amenable number.

404317541 is a deficient number, since it is larger than the sum of its proper divisors (1).

404317541 is an equidigital number, since it uses as much as digits as its factorization.

404317541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 404317541 is about 20107.6488182980. The cubic root of 404317541 is about 739.4478112142.

The spelling of 404317541 in words is "four hundred four million, three hundred seventeen thousand, five hundred forty-one".