7663 has 4 divisors (see below), whose sum is σ = 7840. Its totient is φ = 7488.

The previous prime is 7649. The next prime is 7669. The reversal of 7663 is 3667.

It is a happy number.

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, and also an emirpimes, since its reverse is a distinct semiprime: 3667 = 19 ⋅193.

It is a cyclic number.

It is not a de Polignac number, because 7663 - 2⁹ = 7151 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31 + ... + 127.

It is an arithmetic number, because the mean of its divisors is an integer number (1960).

2⁷⁶⁶³ is an apocalyptic number.

7663 is a deficient number, since it is larger than the sum of its proper divisors (177).

7663 is an equidigital number, since it uses as much as digits as its factorization.

7663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176.

The product of its digits is 756, while the sum is 22.

The square root of 7663 is about 87.5385629309. The cubic root of 7663 is about 19.7151283384.

The spelling of 7663 in words is "seven thousand, six hundred sixty-three".