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289033961 is a prime number
BaseRepresentation
bin10001001110100…
…100111011101001
3202010212110001112
4101032210323221
51042443041321
644403000105
710106514416
oct2116447351
9663773045
10289033961
11139174547
1280969035
1347b5b618
142a55b10d
151a594a5b
hex113a4ee9

289033961 has 2 divisors, whose sum is σ = 289033962. Its totient is φ = 289033960.

The previous prime is 289033897. The next prime is 289033991. The reversal of 289033961 is 169330982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159870736 + 129163225 = 12644^2 + 11365^2 .

It is a cyclic number.

It is not a de Polignac number, because 289033961 - 26 = 289033897 is a prime.

It is a super-2 number, since 2×2890339612 = 167081261222699042, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (289033991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144516980 + 144516981.

It is an arithmetic number, because the mean of its divisors is an integer number (144516981).

Almost surely, 2289033961 is an apocalyptic number.

It is an amenable number.

289033961 is a deficient number, since it is larger than the sum of its proper divisors (1).

289033961 is an equidigital number, since it uses as much as digits as its factorization.

289033961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 289033961 is about 17000.9988235986. The cubic root of 289033961 is about 661.1747984991.

The spelling of 289033961 in words is "two hundred eighty-nine million, thirty-three thousand, nine hundred sixty-one".