7963 has 2 divisors, whose sum is σ = 7964. Its totient is φ = 7962.

The previous prime is 7951. The next prime is 7993. The reversal of 7963 is 3697.

It is a weak prime.

It is an emirp because it is prime and its reverse (3697) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7963 - 2⁹ = 7451 is a prime.

7963 is a lucky number.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (7933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3981 + 3982.

It is an arithmetic number, because the mean of its divisors is an integer number (3982).

2⁷⁹⁶³ is an apocalyptic number.

7963 is a deficient number, since it is larger than the sum of its proper divisors (1).

7963 is an equidigital number, since it uses as much as digits as its factorization.

7963 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 25.

The square root of 7963 is about 89.2356431030. The cubic root of 7963 is about 19.9691190094.

The spelling of 7963 in words is "seven thousand, nine hundred sixty-three".