33816 has 16 divisors (see below), whose sum is σ = 84600. Its totient is φ = 11264.

The previous prime is 33811. The next prime is 33827. The reversal of 33816 is 61833.

It is a super-2 number, since 2×33816² = 2287043712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33792 and 33801.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33816.

It is not an unprimeable number, because it can be changed into a prime (33811) 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, 681 + ... + 728.

2³³⁸¹⁶ is an apocalyptic number.

It is an amenable number.

33816 is an abundant number, since it is smaller than the sum of its proper divisors (50784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42300).

33816 is a wasteful number, since it uses less digits than its factorization.

33816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1414 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 33816 is about 183.8912722236. The cubic root of 33816 is about 32.3375722174.

The spelling of 33816 in words is "thirty-three thousand, eight hundred sixteen".