Search a number
-
+
289120817 is a prime number
BaseRepresentation
bin10001001110111…
…010001000110001
3202011000212012102
4101032322020301
51043003331232
644404510145
710110325556
oct2116721061
9664025172
10289120817
11139223827
12809ab355
1347b8c00b
142a580a2d
151a5b0662
hex113ba231

289120817 has 2 divisors, whose sum is σ = 289120818. Its totient is φ = 289120816.

The previous prime is 289120781. The next prime is 289120823. The reversal of 289120817 is 718021982.

Together with previous prime (289120781) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 278355856 + 10764961 = 16684^2 + 3281^2 .

It is a cyclic number.

It is not a de Polignac number, because 289120817 - 212 = 289116721 is a prime.

It is not a weakly prime, because it can be changed into another prime (289120847) 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, 144560408 + 144560409.

It is an arithmetic number, because the mean of its divisors is an integer number (144560409).

Almost surely, 2289120817 is an apocalyptic number.

It is an amenable number.

289120817 is a deficient number, since it is larger than the sum of its proper divisors (1).

289120817 is an equidigital number, since it uses as much as digits as its factorization.

289120817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 38.

The square root of 289120817 is about 17003.5530698734. The cubic root of 289120817 is about 661.2410205291.

The spelling of 289120817 in words is "two hundred eighty-nine million, one hundred twenty thousand, eight hundred seventeen".