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17053 is a prime number
BaseRepresentation
bin100001010011101
3212101121
410022131
51021203
6210541
7100501
oct41235
925347
1017053
11118a3
129a51
1379ba
146301
1550bd
hex429d

17053 has 2 divisors, whose sum is σ = 17054. Its totient is φ = 17052.

The previous prime is 17047. The next prime is 17077. The reversal of 17053 is 35071.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13689 + 3364 = 117^2 + 58^2 .

It is a cyclic number.

It is not a de Polignac number, because 17053 - 25 = 17021 is a prime.

17053 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (17033) 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, 8526 + 8527.

It is an arithmetic number, because the mean of its divisors is an integer number (8527).

217053 is an apocalyptic number.

It is an amenable number.

17053 is a deficient number, since it is larger than the sum of its proper divisors (1).

17053 is an equidigital number, since it uses as much as digits as its factorization.

17053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 17053 is about 130.5871356604. The cubic root of 17053 is about 25.7395093472.

It can be divided in two parts, 1705 and 3, that multiplied together give a palindrome (5115).

The spelling of 17053 in words is "seventeen thousand, fifty-three".