33205 has 8 divisors (see below), whose sum is σ = 41400. Its totient is φ = 25536.

The previous prime is 33203. The next prime is 33211. The reversal of 33205 is 50233.

33205 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 10404 + 22801 = 102^2 + 151^2 .

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 33205 - 2¹ = 33203 is a prime.

It is a super-2 number, since 2×33205² = 2205144050, which contains 22 as substring.

33205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31 + ... + 259.

It is an arithmetic number, because the mean of its divisors is an integer number (5175).

2³³²⁰⁵ is an apocalyptic number.

It is an amenable number.

33205 is a deficient number, since it is larger than the sum of its proper divisors (8195).

33205 is a wasteful number, since it uses less digits than its factorization.

33205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263.

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 33205 is about 182.2223915988. Note that the first 3 decimals coincide. The cubic root of 33205 is about 32.1416248793.

Adding to 33205 its reverse (50233), we get a palindrome (83438).

The spelling of 33205 in words is "thirty-three thousand, two hundred five".