4663 has 2 divisors, whose sum is σ = 4664. Its totient is φ = 4662.

The previous prime is 4657. The next prime is 4673. The reversal of 4663 is 3664.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-4663 is a prime.

4663 is a lucky number.

It is a plaindrome in base 11, base 15 and base 16.

It is a nialpdrome in base 6.

It is a self number, because there is not a number *n* which added to its sum of digits gives 4663.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4603) 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 as a sum of consecutive naturals, namely, 2331 + 2332.

It is an arithmetic number, because the mean of its divisors is an integer number (2332).

2^{4663} is an apocalyptic number.

4663 is the 37-th centered heptagonal number.

4663 is a deficient number, since it is larger than the sum of its proper divisors (1).

4663 is an equidigital number, since it uses as much as digits as its factorization.

4663 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 19.

The square root of 4663 is about 68.2861625807. The cubic root of 4663 is about 16.7066152811.

Subtracting from 4663 its reverse (3664), we obtain a palindrome (999).

The spelling of 4663 in words is "four thousand, six hundred sixty-three".

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