83584289 has 2 divisors, whose sum is σ = 83584290. Its totient is φ = 83584288.

The previous prime is 83584273. The next prime is 83584301. The reversal of 83584289 is 98248538.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80694289 + 2890000 = 8983^2 + 1700^2 .

It is a cyclic number.

It is not a de Polignac number, because 83584289 - 2⁴ = 83584273 is a prime.

It is not a weakly prime, because it can be changed into another prime (83584219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41792144 + 41792145.

It is an arithmetic number, because the mean of its divisors is an integer number (41792145).

Almost surely, 2^83584289 is an apocalyptic number.

It is an amenable number.

83584289 is a deficient number, since it is larger than the sum of its proper divisors (1).

83584289 is an equidigital number, since it uses as much as digits as its factorization.

83584289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 552960, while the sum is 47.

The square root of 83584289 is about 9142.4443667982. Note that the first 3 decimals coincide. The cubic root of 83584289 is about 437.2282529028.

The spelling of 83584289 in words is "eighty-three million, five hundred eighty-four thousand, two hundred eighty-nine".