33963 has 4 divisors (see below), whose sum is σ = 45288. Its totient is φ = 22640.

The previous prime is 33961. The next prime is 33967. The reversal of 33963 is 36933.

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 33963 - 2¹ = 33961 is a prime.

It is an Ulam number.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (33961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5658 + ... + 5663.

It is an arithmetic number, because the mean of its divisors is an integer number (11322).

2³³⁹⁶³ is an apocalyptic number.

33963 is a deficient number, since it is larger than the sum of its proper divisors (11325).

33963 is a wasteful number, since it uses less digits than its factorization.

33963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11324.

The product of its digits is 1458, while the sum is 24.

The square root of 33963 is about 184.2905314985. The cubic root of 33963 is about 32.3843622144.

The spelling of 33963 in words is "thirty-three thousand, nine hundred sixty-three".