33340 has 12 divisors (see below), whose sum is σ = 70056. Its totient is φ = 13328.

The previous prime is 33331. The next prime is 33343. The reversal of 33340 is 4333.

It is a super-2 number, since 2×33340² = 2223111200, which contains 22 as substring.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 33340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33343) 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, 814 + ... + 853.

It is an arithmetic number, because the mean of its divisors is an integer number (5838).

2³³³⁴⁰ is an apocalyptic number.

It is an amenable number.

33340 is an abundant number, since it is smaller than the sum of its proper divisors (36716).

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 (35028).

33340 is a wasteful number, since it uses less digits than its factorization.

33340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 33340 is about 182.5924423409. The cubic root of 33340 is about 32.1851248758.

Adding to 33340 its reverse (4333), we get a palindrome (37673).

It can be divided in two parts, 333 and 40, that added together give a palindrome (373).

The spelling of 33340 in words is "thirty-three thousand, three hundred forty".