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17113 = 109157
BaseRepresentation
bin100001011011001
3212110211
410023121
51021423
6211121
7100615
oct41331
925424
1017113
1111948
129aa1
137a35
146345
15510d
hex42d9

17113 has 4 divisors (see below), whose sum is σ = 17380. Its totient is φ = 16848.

The previous prime is 17107. The next prime is 17117. The reversal of 17113 is 31171.

17113 = 922 + 932.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 8464 + 8649 = 92^2 + 93^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-17113 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 17093 and 17102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17117) 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 in 3 ways as a sum of consecutive naturals, for example, 31 + ... + 187.

It is an arithmetic number, because the mean of its divisors is an integer number (4345).

217113 is an apocalyptic number.

17113 is the 93-rd centered square number.

It is an amenable number.

17113 is a deficient number, since it is larger than the sum of its proper divisors (267).

17113 is a wasteful number, since it uses less digits than its factorization.

17113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266.

The product of its digits is 21, while the sum is 13.

The square root of 17113 is about 130.8166656050. The cubic root of 17113 is about 25.7696616729.

Adding to 17113 its reverse (31171), we get a palindrome (48284).

The spelling of 17113 in words is "seventeen thousand, one hundred thirteen".

Divisors: 1 109 157 17113