409083973 has 2 divisors, whose sum is σ = 409083974. Its totient is φ = 409083972.

The previous prime is 409083959. The next prime is 409083989. The reversal of 409083973 is 379380904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 408969729 + 114244 = 20223^2 + 338^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-409083973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (409083923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204541986 + 204541987.

It is an arithmetic number, because the mean of its divisors is an integer number (204541987).

Almost surely, 2^409083973 is an apocalyptic number.

It is an amenable number.

409083973 is a deficient number, since it is larger than the sum of its proper divisors (1).

409083973 is an equidigital number, since it uses as much as digits as its factorization.

409083973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 409083973 is about 20225.8244084141. The cubic root of 409083973 is about 742.3422092493.

The spelling of 409083973 in words is "four hundred nine million, eighty-three thousand, nine hundred seventy-three".