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10617989 is a prime number
BaseRepresentation
bin101000100000…
…010010000101
3201222110010212
4220200102011
510204233424
61015325205
7156152144
oct50402205
921873125
1010617989
115aa24a8
123680805
132279c45
1415a575b
15deb10e
hexa20485

10617989 has 2 divisors, whose sum is σ = 10617990. Its totient is φ = 10617988.

The previous prime is 10617949. The next prime is 10617991. The reversal of 10617989 is 98971601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8025889 + 2592100 = 2833^2 + 1610^2 .

It is an emirp because it is prime and its reverse (98971601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10617989 - 212 = 10613893 is a prime.

It is a super-2 number, since 2×106179892 = 225483380808242, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 10617991, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10617949) 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, 5308994 + 5308995.

It is an arithmetic number, because the mean of its divisors is an integer number (5308995).

Almost surely, 210617989 is an apocalyptic number.

It is an amenable number.

10617989 is a deficient number, since it is larger than the sum of its proper divisors (1).

10617989 is an equidigital number, since it uses as much as digits as its factorization.

10617989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 41.

The square root of 10617989 is about 3258.5255868260. The cubic root of 10617989 is about 219.7931181873.

The spelling of 10617989 in words is "ten million, six hundred seventeen thousand, nine hundred eighty-nine".