33965742 has 16 divisors (see below), whose sum is σ = 68389200. Its totient is φ = 11245632.

The previous prime is 33965731. The next prime is 33965747. The reversal of 33965742 is 24756933.

It is a super-2 number, since 2×33965742² = 2307343259221128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33965742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33965747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18103 + ... + 19890.

It is an arithmetic number, because the mean of its divisors is an integer number (4274325).

Almost surely, 2^33965742 is an apocalyptic number.

33965742 is an abundant number, since it is smaller than the sum of its proper divisors (34423458).

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

33965742 is a wasteful number, since it uses less digits than its factorization.

33965742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38147.

The product of its digits is 136080, while the sum is 39.

The square root of 33965742 is about 5828.0135552348. The cubic root of 33965742 is about 323.8523370720.

The spelling of 33965742 in words is "thirty-three million, nine hundred sixty-five thousand, seven hundred forty-two".