33105 has 8 divisors (see below), whose sum is σ = 52992. Its totient is φ = 17648.

The previous prime is 33091. The next prime is 33107. The reversal of 33105 is 50133.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 33105 - 2⁵ = 33073 is a prime.

33105 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33105.

It is not an unprimeable number, because it can be changed into a prime (33107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1089 + ... + 1118.

It is an arithmetic number, because the mean of its divisors is an integer number (6624).

2³³¹⁰⁵ is an apocalyptic number.

It is an amenable number.

33105 is a deficient number, since it is larger than the sum of its proper divisors (19887).

33105 is a wasteful number, since it uses less digits than its factorization.

33105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 33105 is about 181.9477947105. The cubic root of 33105 is about 32.1093265860.

Adding to 33105 its reverse (50133), we get a palindrome (83238).

The spelling of 33105 in words is "thirty-three thousand, one hundred five".