1963 has 4 divisors (see below), whose sum is σ = 2128. Its totient is φ = 1800.

The previous prime is 1951. The next prime is 1973. The reversal of 1963 is 3691.

1963 is nontrivially palindromic in base 6.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 1963 - 2⁵ = 1931 is a prime.

It is a Duffinian number.

1963 is a lucky number.

It is a plaindrome in base 12, base 15 and base 16.

It is a nialpdrome in base 13.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 1963.

It is not an unprimeable number, because it can be changed into a prime (1913) 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, 63 + ... + 88.

It is an arithmetic number, because the mean of its divisors is an integer number (532).

2¹⁹⁶³ is an apocalyptic number.

1963 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1963 is a deficient number, since it is larger than the sum of its proper divisors (165).

1963 is a wasteful number, since it uses less digits than its factorization.

1963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164.

The product of its digits is 162, while the sum is 19.

The square root of 1963 is about 44.3057558338. The cubic root of 1963 is about 12.5210312617.

Subtracting 1963 from its reverse (3691), we obtain a cube (1728 = 12³).

The spelling of 1963 in words is "one thousand, nine hundred sixty-three".