33965072 has 10 divisors (see below), whose sum is σ = 65807358. Its totient is φ = 16982528.

The previous prime is 33965039. The next prime is 33965077. The reversal of 33965072 is 27056933.

It can be written as a sum of positive squares in only one way, i.e., 30294016 + 3671056 = 5504^2 + 1916^2 .

It is a super-2 number, since 2×33965072² = 2307252231930368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33965077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061393 + ... + 1061424.

Almost surely, 2^33965072 is an apocalyptic number.

It is an amenable number.

33965072 is a deficient number, since it is larger than the sum of its proper divisors (31842286).

33965072 is a wasteful number, since it uses less digits than its factorization.

33965072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122825 (or 2122819 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 35.

The square root of 33965072 is about 5827.9560739594. The cubic root of 33965072 is about 323.8502076470.

The spelling of 33965072 in words is "thirty-three million, nine hundred sixty-five thousand, seventy-two".