409158121 has 2 divisors, whose sum is σ = 409158122. Its totient is φ = 409158120.

The previous prime is 409158089. The next prime is 409158149. The reversal of 409158121 is 121851904.

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., 324720400 + 84437721 = 18020^2 + 9189^2 .

It is a cyclic number.

It is not a de Polignac number, because 409158121 - 2⁵ = 409158089 is a prime.

It is not a weakly prime, because it can be changed into another prime (409158151) 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, 204579060 + 204579061.

It is an arithmetic number, because the mean of its divisors is an integer number (204579061).

Almost surely, 2^409158121 is an apocalyptic number.

It is an amenable number.

409158121 is a deficient number, since it is larger than the sum of its proper divisors (1).

409158121 is an equidigital number, since it uses as much as digits as its factorization.

409158121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 409158121 is about 20227.6573285193. The cubic root of 409158121 is about 742.3870573070.

The spelling of 409158121 in words is "four hundred nine million, one hundred fifty-eight thousand, one hundred twenty-one".