33965961 has 8 divisors (see below), whose sum is σ = 45349920. Its totient is φ = 22612992.

The previous prime is 33965957. The next prime is 33965969. The reversal of 33965961 is 16956933.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 33965961 - 2² = 33965957 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33965969) 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, 5055 + ... + 9668.

It is an arithmetic number, because the mean of its divisors is an integer number (5668740).

Almost surely, 2^33965961 is an apocalyptic number.

It is an amenable number.

33965961 is a deficient number, since it is larger than the sum of its proper divisors (11383959).

33965961 is a wasteful number, since it uses less digits than its factorization.

33965961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15495.

The product of its digits is 131220, while the sum is 42.

The square root of 33965961 is about 5828.0323437675. The cubic root of 33965961 is about 323.8530331018.

Subtracting from 33965961 its reverse (16956933), we obtain a triangular number (17009028 = T₅₈₃₂).

The spelling of 33965961 in words is "thirty-three million, nine hundred sixty-five thousand, nine hundred sixty-one".