33881 has 4 divisors (see below), whose sum is σ = 35892. Its totient is φ = 31872.

The previous prime is 33871. The next prime is 33889. The reversal of 33881 is 18833.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 18833 = 37 ⋅509.

It can be written as a sum of positive squares in 2 ways, for example, as 25600 + 8281 = 160^2 + 91^2 .

It is a cyclic number.

It is not a de Polignac number, because 33881 - 2¹⁴ = 17497 is a prime.

It is a super-2 number, since 2×33881² = 2295844322, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33881.

It is not an unprimeable number, because it can be changed into a prime (33889) 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, 980 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (8973).

2³³⁸⁸¹ is an apocalyptic number.

It is an amenable number.

33881 is a deficient number, since it is larger than the sum of its proper divisors (2011).

33881 is a wasteful number, since it uses less digits than its factorization.

33881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010.

The product of its digits is 576, while the sum is 23.

The square root of 33881 is about 184.0679222461. The cubic root of 33881 is about 32.3582783611.

The spelling of 33881 in words is "thirty-three thousand, eight hundred eighty-one".