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17929 is a prime number
BaseRepresentation
bin100011000001001
3220121001
410120021
51033204
6215001
7103162
oct43011
926531
1017929
111251a
12a461
138212
146769
1554a4
hex4609

17929 has 2 divisors, whose sum is σ = 17930. Its totient is φ = 17928.

The previous prime is 17923. The next prime is 17939. The reversal of 17929 is 92971.

It can be divided in two parts, 17 and 929, that added together give a triangular number (946 = T43).

17929 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., 15625 + 2304 = 125^2 + 48^2 .

It is a cyclic number.

It is not a de Polignac number, because 17929 - 23 = 17921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 17897 and 17906.

It is not a weakly prime, because it can be changed into another prime (17921) 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, 8964 + 8965.

It is an arithmetic number, because the mean of its divisors is an integer number (8965).

217929 is an apocalyptic number.

It is an amenable number.

17929 is a deficient number, since it is larger than the sum of its proper divisors (1).

17929 is an equidigital number, since it uses as much as digits as its factorization.

17929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 28.

The square root of 17929 is about 133.8992158304. The cubic root of 17929 is about 26.1729106407.

The spelling of 17929 in words is "seventeen thousand, nine hundred twenty-nine".