83584009409 has 16 divisors (see below), whose sum is σ = 86849099520. Its totient is φ = 80344897920.

The previous prime is 83584009381. The next prime is 83584009433. The reversal of 83584009409 is 90490048538.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 83584009409 - 2⁸ = 83584009153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83584009909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13773794 + ... + 13779860.

It is an arithmetic number, because the mean of its divisors is an integer number (5428068720).

Almost surely, 2^83584009409 is an apocalyptic number.

It is an amenable number.

83584009409 is a deficient number, since it is larger than the sum of its proper divisors (3265090111).

83584009409 is a wasteful number, since it uses less digits than its factorization.

83584009409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8120.

The product of its (nonzero) digits is 1244160, while the sum is 50.

The spelling of 83584009409 in words is "eighty-three billion, five hundred eighty-four million, nine thousand, four hundred nine".