4763 has 4 divisors (see below), whose sum is σ = 5208. Its totient is φ = 4320.

The previous prime is 4759. The next prime is 4783. The reversal of 4763 is 3674.

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

It is a cyclic number.

It is not a de Polignac number, because 4763 - 2^{2} = 4759 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 8, base 13 and base 16.

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 4763.

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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206 + ... + 227.

It is an arithmetic number, because the mean of its divisors is an integer number (1302).

4763 is a deficient number, since it is larger than the sum of its proper divisors (445).

4763 is a wasteful number, since it uses less digits than its factorization.

4763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444.

The product of its digits is 504, while the sum is 20.

The square root of 4763 is about 69.0144912319. The cubic root of 4763 is about 16.8251983915.

Subtracting from 4763 its reverse (3674), we obtain a square (1089 = 33^{2}).

It can be divided in two parts, 4 and 763, that added together give a palindrome (767).

The spelling of 4763 in words is "four thousand, seven hundred sixty-three".

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