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13417 is a prime number
BaseRepresentation
bin11010001101001
3200101221
43101221
5412132
6142041
754055
oct32151
920357
1013417
11a098
127921
136151
144c65
153e97
hex3469

13417 has 2 divisors, whose sum is σ = 13418. Its totient is φ = 13416.

The previous prime is 13411. The next prime is 13421. The reversal of 13417 is 71431.

13417 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10816 + 2601 = 104^2 + 51^2 .

It is a cyclic number.

It is not a de Polignac number, because 13417 - 211 = 11369 is a prime.

It is equal to p1591 and since 13417 and 1591 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13417.

It is not a weakly prime, because it can be changed into another prime (13411) 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, 6708 + 6709.

It is an arithmetic number, because the mean of its divisors is an integer number (6709).

213417 is an apocalyptic number.

It is an amenable number.

13417 is a deficient number, since it is larger than the sum of its proper divisors (1).

13417 is an equidigital number, since it uses as much as digits as its factorization.

13417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84, while the sum is 16.

The square root of 13417 is about 115.8317745698. The cubic root of 13417 is about 23.7621175468.

Adding to 13417 its reverse (71431), we get a palindrome (84848).

It can be divided in two parts, 134 and 17, that multiplied together give a triangular number (2278 = T67).

The spelling of 13417 in words is "thirteen thousand, four hundred seventeen".