33966918 has 64 divisors (see below), whose sum is σ = 80766720. Its totient is φ = 10544256.

The previous prime is 33966913. The next prime is 33966931. The reversal of 33966918 is 81966933.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33966913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149521 + ... + 149747.

It is an arithmetic number, because the mean of its divisors is an integer number (1261980).

Almost surely, 2^33966918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33966918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40383360).

33966918 is an abundant number, since it is smaller than the sum of its proper divisors (46799802).

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

33966918 is a wasteful number, since it uses less digits than its factorization.

33966918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 412 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 33966918 is about 5828.1144463711. The cubic root of 33966918 is about 323.8560746217.

The spelling of 33966918 in words is "thirty-three million, nine hundred sixty-six thousand, nine hundred eighteen".