409742213 has 2 divisors, whose sum is σ = 409742214. Its totient is φ = 409742212.

The previous prime is 409742191. The next prime is 409742231. The reversal of 409742213 is 312247904.

Together with next prime (409742231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 407111329 + 2630884 = 20177^2 + 1622^2 .

It is a cyclic number.

It is not a de Polignac number, because 409742213 - 2⁶ = 409742149 is a prime.

It is a super-2 number, since 2×409742213² = 335777362228274738, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 409742213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409742413) 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, 204871106 + 204871107.

It is an arithmetic number, because the mean of its divisors is an integer number (204871107).

Almost surely, 2^409742213 is an apocalyptic number.

It is an amenable number.

409742213 is a deficient number, since it is larger than the sum of its proper divisors (1).

409742213 is an equidigital number, since it uses as much as digits as its factorization.

409742213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 409742213 is about 20242.0901341734. The cubic root of 409742213 is about 742.7401532078.

The spelling of 409742213 in words is "four hundred nine million, seven hundred forty-two thousand, two hundred thirteen".