Search a number
-
+
289033 is a prime number
BaseRepresentation
bin1000110100100001001
3112200110221
41012210021
533222113
610110041
72312443
oct1064411
9480427
10289033
11188178
1211b321
13a1734
1477493
155a98d
hex46909

289033 has 2 divisors, whose sum is σ = 289034. Its totient is φ = 289032.

The previous prime is 289031. The next prime is 289039. The reversal of 289033 is 330982.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 227529 + 61504 = 477^2 + 248^2 .

It is a cyclic number.

It is not a de Polignac number, because 289033 - 21 = 289031 is a prime.

Together with 289031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 288989 and 289007.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289033.

It is not a weakly prime, because it can be changed into another prime (289031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144516 + 144517.

It is an arithmetic number, because the mean of its divisors is an integer number (144517).

2289033 is an apocalyptic number.

It is an amenable number.

289033 is a deficient number, since it is larger than the sum of its proper divisors (1).

289033 is an equidigital number, since it uses as much as digits as its factorization.

289033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 289033 is about 537.6178940474. The cubic root of 289033 is about 66.1174065725.

The spelling of 289033 in words is "two hundred eighty-nine thousand, thirty-three".