4717 has 4 divisors (see below), whose sum is σ = 4860. Its totient is φ = 4576.

The previous prime is 4703. The next prime is 4721. The reversal of 4717 is 7174.

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 2116 + 2601 = 46^2 + 51^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-4717 is a prime.

It is a Duffinian number.

4717 is a lucky number.

It is a plaindrome in base 8 and base 16.

It is a nialpdrome in base 9.

It is a zygodrome in base 8.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 4694 and 4703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4787) 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, 9 + ... + 97.

It is an arithmetic number, because the mean of its divisors is an integer number (1215).

2^{4717} is an apocalyptic number.

It is an amenable number.

4717 is a deficient number, since it is larger than the sum of its proper divisors (143).

4717 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (4716) it forms an eRAP, since the sums of their prime factors are consecutive (141 and 142).

4717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142.

The product of its digits is 196, while the sum is 19.

The square root of 4717 is about 68.6804193348. The cubic root of 4717 is about 16.7708583988.

Adding to 4717 its product of digits (196), we get a cube (4913 = 17^{3}).

It can be divided in two parts, 47 and 17, that added together give a 6-th power (64 = 2^{6}).

The spelling of 4717 in words is "four thousand, seven hundred seventeen", and thus it is an iban number.

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