13117 has 4 divisors (see below), whose sum is σ = 14140. Its totient is φ = 12096.
The previous prime is 13109. The next prime is 13121. The reversal of 13117 is 71131.
It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 71131 = 83 ⋅857.
It can be written as a sum of positive squares in 2 ways, for example, as 2916 + 10201 = 54^2 + 101^2 .
It is a cyclic number.
It is not a de Polignac number, because 13117 - 23 = 13109 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 1009 = 13117 / (1 + 3 + 1 + 1 + 7).
It is a Duffinian number.
13117 is a modest number, since divided by 117 gives 13 as remainder.
13117 is a lucky number.
It is a plaindrome in base 14 and base 16.
It is a nialpdrome in base 12.
It is a zygodrome in base 12.
It is a junction number, because it is equal to n+sod(n) for n = 13097 and 13106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13127) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 492 + ... + 517.
It is an arithmetic number, because the mean of its divisors is an integer number (3535).
213117 is an apocalyptic number.
It is an amenable number.
13117 is a deficient number, since it is larger than the sum of its proper divisors (1023).
13117 is a wasteful number, since it uses less digits than its factorization.
13117 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1022.
The product of its digits is 21, while the sum is 13.
The square root of 13117 is about 114.5294721895. The cubic root of 13117 is about 23.5836763495.
Adding to 13117 its reverse (71131), we get a palindrome (84248).
It can be divided in two parts, 13 and 117, that multiplied together give a square (1521 = 392).
The spelling of 13117 in words is "thirteen thousand, one hundred seventeen".
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