409313341 has 2 divisors, whose sum is σ = 409313342. Its totient is φ = 409313340.

The previous prime is 409313297. The next prime is 409313353. The reversal of 409313341 is 143313904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 268796025 + 140517316 = 16395^2 + 11854^2 .

It is a cyclic number.

It is not a de Polignac number, because 409313341 - 2⁷ = 409313213 is a prime.

It is a super-2 number, since 2×409313341² = 335074822241164562, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409313381) 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, 204656670 + 204656671.

It is an arithmetic number, because the mean of its divisors is an integer number (204656671).

Almost surely, 2^409313341 is an apocalyptic number.

It is an amenable number.

409313341 is a deficient number, since it is larger than the sum of its proper divisors (1).

409313341 is an equidigital number, since it uses as much as digits as its factorization.

409313341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 409313341 is about 20231.4937906226. The cubic root of 409313341 is about 742.4809238298.

The spelling of 409313341 in words is "four hundred nine million, three hundred thirteen thousand, three hundred forty-one".