33045 has 8 divisors (see below), whose sum is σ = 52896. Its totient is φ = 17616.

The previous prime is 33037. The next prime is 33049. The reversal of 33045 is 54033.

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

It is not a de Polignac number, because 33045 - 2³ = 33037 is a prime.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 2203 = 33045 / (3 + 3 + 0 + 4 + 5).

33045 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33049) 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, 1087 + ... + 1116.

It is an arithmetic number, because the mean of its divisors is an integer number (6612).

2³³⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

33045 is a deficient number, since it is larger than the sum of its proper divisors (19851).

33045 is a wasteful number, since it uses less digits than its factorization.

33045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 33045 is about 181.7828374737. The cubic root of 33045 is about 32.0899163793.

Adding to 33045 its reverse (54033), we get a palindrome (87078).

The spelling of 33045 in words is "thirty-three thousand, forty-five".