408099137 has 2 divisors, whose sum is σ = 408099138. Its totient is φ = 408099136.

The previous prime is 408099121. The next prime is 408099149. The reversal of 408099137 is 731990804.

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., 233753521 + 174345616 = 15289^2 + 13204^2 .

It is a cyclic number.

It is not a de Polignac number, because 408099137 - 2⁴ = 408099121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 408099094 and 408099103.

It is not a weakly prime, because it can be changed into another prime (408099337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204049568 + 204049569.

It is an arithmetic number, because the mean of its divisors is an integer number (204049569).

Almost surely, 2^408099137 is an apocalyptic number.

It is an amenable number.

408099137 is a deficient number, since it is larger than the sum of its proper divisors (1).

408099137 is an equidigital number, since it uses as much as digits as its factorization.

408099137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 408099137 is about 20201.4637340961. The cubic root of 408099137 is about 741.7460213090.

The spelling of 408099137 in words is "four hundred eight million, ninety-nine thousand, one hundred thirty-seven".