33381 has 6 divisors (see below), whose sum is σ = 48230. Its totient is φ = 22248.

The previous prime is 33377. The next prime is 33391. The reversal of 33381 is 18333.

It can be written as a sum of positive squares in only one way, i.e., 25281 + 8100 = 159^2 + 90^2 .

It is not a de Polignac number, because 33381 - 2² = 33377 is a prime.

It is a super-2 number, since 2×33381² = 2228582322, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

33381 is a lucky number.

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 (33301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1846 + ... + 1863.

2³³³⁸¹ is an apocalyptic number.

It is an amenable number.

33381 is a deficient number, since it is larger than the sum of its proper divisors (14849).

33381 is a wasteful number, since it uses less digits than its factorization.

33381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715 (or 3712 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 33381 is about 182.7046797430. The cubic root of 33381 is about 32.1983127339.

It can be divided in two parts, 333 and 81, that added together give a palindrome (414).

The spelling of 33381 in words is "thirty-three thousand, three hundred eighty-one".