33389 has 4 divisors (see below), whose sum is σ = 33756. Its totient is φ = 33024.

The previous prime is 33377. The next prime is 33391. The reversal of 33389 is 98333.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 98333 = 107 ⋅919.

It can be written as a sum of positive squares in 2 ways, for example, as 20164 + 13225 = 142^2 + 115^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33389 is a prime.

It is a super-2 number, since 2×33389² = 2229650642, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33329) 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, 77 + ... + 269.

It is an arithmetic number, because the mean of its divisors is an integer number (8439).

2³³³⁸⁹ is an apocalyptic number.

It is an amenable number.

33389 is a deficient number, since it is larger than the sum of its proper divisors (367).

33389 is a wasteful number, since it uses less digits than its factorization.

33389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366.

The product of its digits is 1944, while the sum is 26.

The square root of 33389 is about 182.7265716857. The cubic root of 33389 is about 32.2008847152.

The spelling of 33389 in words is "thirty-three thousand, three hundred eighty-nine".