33916 has 12 divisors (see below), whose sum is σ = 60760. Its totient is φ = 16560.

The previous prime is 33911. The next prime is 33923. The reversal of 33916 is 61933.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33911) 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, 175 + ... + 313.

2³³⁹¹⁶ is an apocalyptic number.

It is an amenable number.

33916 is a deficient number, since it is larger than the sum of its proper divisors (26844).

33916 is a wasteful number, since it uses less digits than its factorization.

33916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its digits is 486, while the sum is 22.

The square root of 33916 is about 184.1629713053. The cubic root of 33916 is about 32.3694168555.

It can be divided in two parts, 33 and 916, that added together give a palindrome (949).

The spelling of 33916 in words is "thirty-three thousand, nine hundred sixteen".