Search a number
-
+
1000289 is a prime number
BaseRepresentation
bin11110100001101100001
31212211010202
43310031201
5224002124
633234545
711334203
oct3641541
91784122
101000289
11623594
12402a55
132903b4
141c0773
1514b5ae
hexf4361

1000289 has 2 divisors, whose sum is σ = 1000290. Its totient is φ = 1000288.

The previous prime is 1000273. The next prime is 1000291. The reversal of 1000289 is 9820001.

1000289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1000000 + 289 = 1000^2 + 17^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000289 - 24 = 1000273 is a prime.

Together with 1000291, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000289.

It is not a weakly prime, because it can be changed into another prime (1000249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500144 + 500145.

It is an arithmetic number, because the mean of its divisors is an integer number (500145).

21000289 is an apocalyptic number.

It is an amenable number.

1000289 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000289 is an equidigital number, since it uses as much as digits as its factorization.

1000289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1000289 is about 1000.1444895614. The cubic root of 1000289 is about 100.0096324055.

The spelling of 1000289 in words is "one million, two hundred eighty-nine", and thus it is an aban number.