33987105 has 48 divisors (see below), whose sum is σ = 62699520. Its totient is φ = 16982784.

The previous prime is 33987103. The next prime is 33987119. The reversal of 33987105 is 50178933.

It is not a de Polignac number, because 33987105 - 2¹ = 33987103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33987105.

It is not an unprimeable number, because it can be changed into a prime (33987103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108429 + ... + 108741.

It is an arithmetic number, because the mean of its divisors is an integer number (1306240).

Almost surely, 2^33987105 is an apocalyptic number.

It is an amenable number.

33987105 is a deficient number, since it is larger than the sum of its proper divisors (28712415).

33987105 is a wasteful number, since it uses less digits than its factorization.

33987105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 33987105 is about 5829.8460528559. The cubic root of 33987105 is about 323.9202192684.

The spelling of 33987105 in words is "thirty-three million, nine hundred eighty-seven thousand, one hundred five".