83584009 has 2 divisors, whose sum is σ = 83584010. Its totient is φ = 83584008.

The previous prime is 83583991. The next prime is 83584031. The reversal of 83584009 is 90048538.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50808384 + 32775625 = 7128^2 + 5725^2 .

It is a cyclic number.

It is not a de Polignac number, because 83584009 - 2⁹ = 83583497 is a prime.

It is not a weakly prime, because it can be changed into another prime (83584069) 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, 41792004 + 41792005.

It is an arithmetic number, because the mean of its divisors is an integer number (41792005).

Almost surely, 2^83584009 is an apocalyptic number.

It is an amenable number.

83584009 is a deficient number, since it is larger than the sum of its proper divisors (1).

83584009 is an equidigital number, since it uses as much as digits as its factorization.

83584009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 83584009 is about 9142.4290535940. The cubic root of 83584009 is about 437.2277646769.

The spelling of 83584009 in words is "eighty-three million, five hundred eighty-four thousand, nine".