33665 has 4 divisors (see below), whose sum is σ = 40404. Its totient is φ = 26928.

The previous prime is 33647. The next prime is 33679. The reversal of 33665 is 56633.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 25921 + 7744 = 161^2 + 88^2 .

It is a cyclic number.

It is not a de Polignac number, because 33665 - 2⁶ = 33601 is a prime.

It is a super-2 number, since 2×33665² = 2266664450, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33665.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33665.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3362 + ... + 3371.

It is an arithmetic number, because the mean of its divisors is an integer number (10101).

2³³⁶⁶⁵ is an apocalyptic number.

It is an amenable number.

33665 is a deficient number, since it is larger than the sum of its proper divisors (6739).

33665 is an equidigital number, since it uses as much as digits as its factorization.

33665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738.

The product of its digits is 1620, while the sum is 23.

The square root of 33665 is about 183.4802441681. The cubic root of 33665 is about 32.2893676245.

It can be divided in two parts, 33 and 665, that multiplied together give a triangular number (21945 = T₂₀₉).

The spelling of 33665 in words is "thirty-three thousand, six hundred sixty-five".