85984289 has 2 divisors, whose sum is σ = 85984290. Its totient is φ = 85984288.

The previous prime is 85984279. The next prime is 85984303. The reversal of 85984289 is 98248958.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80694289 + 5290000 = 8983^2 + 2300^2 .

It is a cyclic number.

It is not a de Polignac number, because 85984289 - 2⁴ = 85984273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85984289.

It is not a weakly prime, because it can be changed into another prime (85984259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42992144 + 42992145.

It is an arithmetic number, because the mean of its divisors is an integer number (42992145).

Almost surely, 2^85984289 is an apocalyptic number.

It is an amenable number.

85984289 is a deficient number, since it is larger than the sum of its proper divisors (1).

85984289 is an equidigital number, since it uses as much as digits as its factorization.

85984289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1658880, while the sum is 53.

The square root of 85984289 is about 9272.7713764548. The cubic root of 85984289 is about 441.3736153700.

The spelling of 85984289 in words is "eighty-five million, nine hundred eighty-four thousand, two hundred eighty-nine".