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17293 is a prime number
BaseRepresentation
bin100001110001101
3212201111
410032031
51023133
6212021
7101263
oct41615
925644
1017293
1111aa1
12a011
137b43
146433
1551cd
hex438d

17293 has 2 divisors, whose sum is σ = 17294. Its totient is φ = 17292.

The previous prime is 17291. The next prime is 17299. The reversal of 17293 is 39271.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10404 + 6889 = 102^2 + 83^2 .

It is a cyclic number.

It is not a de Polignac number, because 17293 - 21 = 17291 is a prime.

Together with 17291, it forms a pair of twin primes.

It is the 132-nd Hogben number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (17291) by changing a digit.

It is a nontrivial repunit in base 131.

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, 8646 + 8647.

It is an arithmetic number, because the mean of its divisors is an integer number (8647).

217293 is an apocalyptic number.

It is an amenable number.

17293 is a deficient number, since it is larger than the sum of its proper divisors (1).

17293 is an equidigital number, since it uses as much as digits as its factorization.

17293 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378, while the sum is 22.

The square root of 17293 is about 131.5028516801. The cubic root of 17293 is about 25.8596979078.

Subtracting from 17293 its sum of digits (22), we obtain a palindrome (17271).

Adding to 17293 its product of digits (378), we get a palindrome (17671).

The spelling of 17293 in words is "seventeen thousand, two hundred ninety-three".