33243966 has 64 divisors (see below), whose sum is σ = 87183360. Its totient is φ = 9188640.

The previous prime is 33243953. The next prime is 33243967. The reversal of 33243966 is 66934233.

It is a super-2 number, since 2×33243966² = 2210322550818312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 33243966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33243967) 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, 10300 + ... + 13136.

It is an arithmetic number, because the mean of its divisors is an integer number (1362240).

Almost surely, 2^33243966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33243966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43591680).

33243966 is an abundant number, since it is smaller than the sum of its proper divisors (53939394).

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

33243966 is a wasteful number, since it uses less digits than its factorization.

33243966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2880 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 33243966 is about 5765.7580594402. The cubic root of 33243966 is about 321.5419267495.

The spelling of 33243966 in words is "thirty-three million, two hundred forty-three thousand, nine hundred sixty-six".