33165 has 24 divisors (see below), whose sum is σ = 63648. Its totient is φ = 15840.

The previous prime is 33161. The next prime is 33179. The reversal of 33165 is 56133.

It is not a de Polignac number, because 33165 - 2² = 33161 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33165.

It is not an unprimeable number, because it can be changed into a prime (33161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462 + ... + 528.

It is an arithmetic number, because the mean of its divisors is an integer number (2652).

2³³¹⁶⁵ is an apocalyptic number.

It is an amenable number.

33165 is a deficient number, since it is larger than the sum of its proper divisors (30483).

33165 is a wasteful number, since it uses less digits than its factorization.

33165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 86 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 33165 is about 182.1126025293. The cubic root of 33165 is about 32.1287133540.

Adding to 33165 its reverse (56133), we get a palindrome (89298).

It can be divided in two parts, 3316 and 5, that added together give a triangular number (3321 = T₈₁).

The spelling of 33165 in words is "thirty-three thousand, one hundred sixty-five".