3963 has 4 divisors (see below), whose sum is σ = 5288. Its totient is φ = 2640.

The previous prime is 3947. The next prime is 3967. The reversal of 3963 is 3693.

3963 is nontrivially palindromic in base 6.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3693 = 3 ⋅1231.

It is not a de Polignac number, because 3963 - 2⁴ = 3947 is a prime.

It is a D-number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 658 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (1322).

2³⁹⁶³ is an apocalyptic number.

3963 is a deficient number, since it is larger than the sum of its proper divisors (1325).

3963 is a wasteful number, since it uses less digits than its factorization.

3963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324.

The product of its digits is 486, while the sum is 21.

The square root of 3963 is about 62.9523629421. The cubic root of 3963 is about 15.8249139602.

The spelling of 3963 in words is "three thousand, nine hundred sixty-three".