33812 has 12 divisors (see below), whose sum is σ = 60480. Its totient is φ = 16536.

The previous prime is 33811. The next prime is 33827. The reversal of 33812 is 21833.

It is a super-2 number, since 2×33812² = 2286502688, which contains 22 as substring.

It is a plaindrome in base 11.

It is a congruent number.

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, 263 + ... + 369.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2³³⁸¹² is an apocalyptic number.

It is an amenable number.

33812 is a deficient number, since it is larger than the sum of its proper divisors (26668).

33812 is a wasteful number, since it uses less digits than its factorization.

33812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 188 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 33812 is about 183.8803959100. The cubic root of 33812 is about 32.3362971268.

It can be divided in two parts, 33 and 812, that multiplied together give a triangular number (26796 = T₂₃₁).

The spelling of 33812 in words is "thirty-three thousand, eight hundred twelve".