33996105 has 80 divisors (see below), whose sum is σ = 71717184. Its totient is φ = 15189120.

The previous prime is 33996103. The next prime is 33996121. The reversal of 33996105 is 50169933.

33996105 is a `hidden beast` number, since 3 + 39 + 9 + 610 + 5 = 666.

It is not a de Polignac number, because 33996105 - 2¹ = 33996103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33996105.

It is not an unprimeable number, because it can be changed into a prime (33996103) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57622 + ... + 58208.

Almost surely, 2^33996105 is an apocalyptic number.

It is an amenable number.

33996105 is an abundant number, since it is smaller than the sum of its proper divisors (37721079).

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

33996105 is a wasteful number, since it uses less digits than its factorization.

33996105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 33996105 is about 5830.6178917847. The cubic root of 33996105 is about 323.9488087848.

Subtracting 33996105 from its reverse (50169933), we obtain a triangular number (16173828 = T₅₆₈₇).

The spelling of 33996105 in words is "thirty-three million, nine hundred ninety-six thousand, one hundred five".