33966068 has 24 divisors (see below), whose sum is σ = 63132552. Its totient is φ = 15934464.

The previous prime is 33966061. The next prime is 33966071. The reversal of 33966068 is 86066933.

It can be written as a sum of positive squares in 4 ways, for example, as 26337424 + 7628644 = 5132^2 + 2762^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33966061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30530 + ... + 31622.

It is an arithmetic number, because the mean of its divisors is an integer number (2630523).

Almost surely, 2^33966068 is an apocalyptic number.

It is an amenable number.

33966068 is a deficient number, since it is larger than the sum of its proper divisors (29166484).

33966068 is a wasteful number, since it uses less digits than its factorization.

33966068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 41.

The square root of 33966068 is about 5828.0415235309. The cubic root of 33966068 is about 323.8533731701.

The spelling of 33966068 in words is "thirty-three million, nine hundred sixty-six thousand, sixty-eight".