33918966 has 32 divisors (see below), whose sum is σ = 76339200. Its totient is φ = 11161800.

The previous prime is 33918881. The next prime is 33918977. The reversal of 33918966 is 66981933.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291 + ... + 8241.

It is an arithmetic number, because the mean of its divisors is an integer number (2385600).

Almost surely, 2^33918966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33918966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38169600).

33918966 is an abundant number, since it is smaller than the sum of its proper divisors (42420234).

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

33918966 is a wasteful number, since it uses less digits than its factorization.

33918966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8041 (or 8035 counting only the distinct ones).

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

The square root of 33918966 is about 5823.9991414835. Note that the first 3 decimals coincide. The cubic root of 33918966 is about 323.7036041106.

The spelling of 33918966 in words is "thirty-three million, nine hundred eighteen thousand, nine hundred sixty-six".