4705 has 4 divisors (see below), whose sum is σ = 5652. Its totient is φ = 3760.

The previous prime is 4703. The next prime is 4721. The reversal of 4705 is 5074.

Adding to 4705 its reverse (5074), we get a palindrome (9779).

4705 = 17^{2} + 18^{2} + ... + 26^{2}.

4705 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2304 + 2401 = 48^2 + 49^2 .

It is not a de Polignac number, because 4705 - 2^{1} = 4703 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 4705.

It is not an unprimeable number, because it can be changed into a prime (4703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 466 + ... + 475.

It is an arithmetic number, because the mean of its divisors is an integer number (1413).

2^{4705} is an apocalyptic number.

4705 is the 49-th centered square number.

It is an amenable number.

4705 is a deficient number, since it is larger than the sum of its proper divisors (947).

4705 is an equidigital number, since it uses as much as digits as its factorization.

4705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946.

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 4705 is about 68.5930025586. The cubic root of 4705 is about 16.7566246908.

The spelling of 4705 in words is "four thousand, seven hundred five".

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