33000940 has 48 divisors (see below), whose sum is σ = 79978752. Its totient is φ = 11203776.

The previous prime is 33000937. The next prime is 33000943. The reversal of 33000940 is 4900033.

It is an interprime number because it is at equal distance from previous prime (33000937) and next prime (33000943).

It is not an unprimeable number, because it can be changed into a prime (33000943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13879 + ... + 16081.

It is an arithmetic number, because the mean of its divisors is an integer number (1666224).

Almost surely, 2^33000940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33000940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39989376).

33000940 is an abundant number, since it is smaller than the sum of its proper divisors (46977812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33000940 is a wasteful number, since it uses less digits than its factorization.

33000940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2324 counting only the distinct ones).

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

The square root of 33000940 is about 5744.6444624537. The cubic root of 33000940 is about 320.7564785083.

Adding to 33000940 its reverse (4900033), we get a palindrome (37900973).

The spelling of 33000940 in words is "thirty-three million, nine hundred forty", and thus it is an aban number.