33940 has 12 divisors (see below), whose sum is σ = 71316. Its totient is φ = 13568.

The previous prime is 33937. The next prime is 33941. The reversal of 33940 is 4933.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 9604 = 156^2 + 98^2 .

It is a plaindrome in base 11 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 829 + ... + 868.

It is an arithmetic number, because the mean of its divisors is an integer number (5943).

2³³⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

33940 is an abundant number, since it is smaller than the sum of its proper divisors (37376).

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 (35658).

33940 is a wasteful number, since it uses less digits than its factorization.

33940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 33940 is about 184.2281194606. The cubic root of 33940 is about 32.3770502520.

The spelling of 33940 in words is "thirty-three thousand, nine hundred forty".