406122349 has 2 divisors, whose sum is σ = 406122350. Its totient is φ = 406122348.

The previous prime is 406122259. The next prime is 406122383. The reversal of 406122349 is 943221604.

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., 379548324 + 26574025 = 19482^2 + 5155^2 .

It is a cyclic number.

It is not a de Polignac number, because 406122349 - 2⁷ = 406122221 is a prime.

It is equal to p_21645328 and since 406122349 and 21645328 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 406122349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406122049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203061174 + 203061175.

It is an arithmetic number, because the mean of its divisors is an integer number (203061175).

Almost surely, 2^406122349 is an apocalyptic number.

It is an amenable number.

406122349 is a deficient number, since it is larger than the sum of its proper divisors (1).

406122349 is an equidigital number, since it uses as much as digits as its factorization.

406122349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 406122349 is about 20152.4774903732. The cubic root of 406122349 is about 740.5464365477.

The spelling of 406122349 in words is "four hundred six million, one hundred twenty-two thousand, three hundred forty-nine".