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17029 is a prime number
BaseRepresentation
bin100001010000101
3212100201
410022011
51021104
6210501
7100435
oct41205
925321
1017029
1111881
129a31
13799c
1462c5
1550a4
hex4285

17029 has 2 divisors, whose sum is σ = 17030. Its totient is φ = 17028.

The previous prime is 17027. The next prime is 17033. The reversal of 17029 is 92071.

17029 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16129 + 900 = 127^2 + 30^2 .

It is a cyclic number.

It is not a de Polignac number, because 17029 - 21 = 17027 is a prime.

Together with 17027, it forms a pair of twin primes.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 16997 and 17015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (17021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8514 + 8515.

It is an arithmetic number, because the mean of its divisors is an integer number (8515).

217029 is an apocalyptic number.

It is an amenable number.

17029 is a deficient number, since it is larger than the sum of its proper divisors (1).

17029 is an equidigital number, since it uses as much as digits as its factorization.

17029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 17029 is about 130.4952106401. The cubic root of 17029 is about 25.7274286135.

It can be divided in two parts, 1702 and 9, that added together give a triangular number (1711 = T58).

The spelling of 17029 in words is "seventeen thousand, twenty-nine".