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17137009 is a prime number
BaseRepresentation
bin100000101011…
…1110101110001
31012020122120001
41001113311301
513341341014
61411150001
7265443061
oct101276561
935218501
1017137009
11974531a
1258a5301
133720256
1423c13a1
151787974
hex1057d71

17137009 has 2 divisors, whose sum is σ = 17137010. Its totient is φ = 17137008.

The previous prime is 17137007. The next prime is 17137061. The reversal of 17137009 is 90073171.

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., 16321600 + 815409 = 4040^2 + 903^2 .

It is a cyclic number.

It is not a de Polignac number, because 17137009 - 21 = 17137007 is a prime.

Together with 17137007, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (17137007) 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, 8568504 + 8568505.

It is an arithmetic number, because the mean of its divisors is an integer number (8568505).

Almost surely, 217137009 is an apocalyptic number.

It is an amenable number.

17137009 is a deficient number, since it is larger than the sum of its proper divisors (1).

17137009 is an equidigital number, since it uses as much as digits as its factorization.

17137009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1323, while the sum is 28.

The square root of 17137009 is about 4139.6870654676. The cubic root of 17137009 is about 257.8170738264.

It can be divided in two parts, 17 and 137009, that added together give a triangular number (137026 = T523).

The spelling of 17137009 in words is "seventeen million, one hundred thirty-seven thousand, nine".