33669 has 16 divisors (see below), whose sum is σ = 52800. Its totient is φ = 21168.

The previous prime is 33647. The next prime is 33679. The reversal of 33669 is 96633.

It is not a de Polignac number, because 33669 - 2⁵ = 33637 is a prime.

It is a super-2 number, since 2×33669² = 2267203122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2916) is a multiple of the sum of its prime factors (81).

It is a Curzon number.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762 + ... + 804.

It is an arithmetic number, because the mean of its divisors is an integer number (3300).

2³³⁶⁶⁹ is an apocalyptic number.

It is an amenable number.

33669 is a deficient number, since it is larger than the sum of its proper divisors (19131).

33669 is a wasteful number, since it uses less digits than its factorization.

33669 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 75 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 33669 is about 183.4911442005. The cubic root of 33669 is about 32.2906464240.

Adding to 33669 its product of digits (2916), we get a triangular number (36585 = T₂₇₀).

It can be divided in two parts, 3366 and 9, that added together give a cube (3375 = 15³).

The spelling of 33669 in words is "thirty-three thousand, six hundred sixty-nine".