4917 has 8 divisors (see below), whose sum is σ = 7200. Its totient is φ = 2960.
The previous prime is 4909. The next prime is 4919. The reversal of 4917 is 7194.
It is a sphenic number, since it is the product of 3 distinct primes.
It is a cyclic number.
It is not a de Polignac number, because 4917 - 23 = 4909 is a prime.
It is a plaindrome in base 15 and base 16.
It is a nialpdrome in base 9.
It is a junction number, because it is equal to n+sod(n) for n = 4893 and 4902.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4919) 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 7 ways as a sum of consecutive naturals, for example, 42 + ... + 107.
It is an arithmetic number, because the mean of its divisors is an integer number (900).
It is an amenable number.
4917 is a deficient number, since it is larger than the sum of its proper divisors (2283).
4917 is a wasteful number, since it uses less digits than its factorization.
4917 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 163.
The product of its digits is 252, while the sum is 21.
The square root of 4917 is about 70.1213234330. The cubic root of 4917 is about 17.0046123586.
It can be divided in two parts, 49 and 17, that added together give a palindrome (66).
The spelling of 4917 in words is "four thousand, nine hundred seventeen".
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