6963 has 8 divisors (see below), whose sum is σ = 10176. Its totient is φ = 4200.

The previous prime is 6961. The next prime is 6967. The reversal of 6963 is 3696.

6963 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 6963 - 2¹ = 6961 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73 + ... + 138.

It is an arithmetic number, because the mean of its divisors is an integer number (1272).

2⁶⁹⁶³ is an apocalyptic number.

6963 is a deficient number, since it is larger than the sum of its proper divisors (3213).

6963 is a wasteful number, since it uses less digits than its factorization.

6963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225.

The product of its digits is 972, while the sum is 24.

The square root of 6963 is about 83.4445923952. Note that the first 3 decimals coincide. The cubic root of 6963 is about 19.0955482438.

It can be divided in two parts, 6 and 963, that multiplied together give a triangular number (5778 = T₁₀₇).

The spelling of 6963 in words is "six thousand, nine hundred sixty-three".