2663 has 2 divisors, whose sum is σ = 2664. Its totient is φ = 2662.

The previous prime is 2659. The next prime is 2671. The reversal of 2663 is 3662.

Subtracting 2663 from its reverse (3662), we obtain a palindrome (999).

It can be divided in two parts, 2 and 663, that multiplied together give a triangular number (1326 = T_{51}).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2663 - 2^{2} = 2659 is a prime.

It is equal to p_{386} and since 2663 and 386 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 9 and base 13.

It is a nialpdrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2633) 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, 1331 + 1332.

It is an arithmetic number, because the mean of its divisors is an integer number (1332).

2663 is a deficient number, since it is larger than the sum of its proper divisors (1).

2663 is an equidigital number, since it uses as much as digits as its factorization.

2663 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 17.

The square root of 2663 is about 51.6042633898. The cubic root of 2663 is about 13.8608667600.

The spelling of 2663 in words is "two thousand, six hundred sixty-three".

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