33805 has 4 divisors (see below), whose sum is σ = 40572. Its totient is φ = 27040.

The previous prime is 33797. The next prime is 33809. The reversal of 33805 is 50833.

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 19881 + 13924 = 141^2 + 118^2 .

It is not a de Polignac number, because 33805 - 2³ = 33797 is a prime.

It is a super-2 number, since 2×33805² = 2285556050, which contains 22 as substring.

It is a Duffinian number.

33805 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33809) 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 3 ways as a sum of consecutive naturals, for example, 3376 + ... + 3385.

It is an arithmetic number, because the mean of its divisors is an integer number (10143).

2³³⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

33805 is a deficient number, since it is larger than the sum of its proper divisors (6767).

33805 is an equidigital number, since it uses as much as digits as its factorization.

33805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 33805 is about 183.8613608130. The cubic root of 33805 is about 32.3340654763.

It can be divided in two parts, 3380 and 5, that multiplied together give a square (16900 = 130²).

The spelling of 33805 in words is "thirty-three thousand, eight hundred five".