33085 has 8 divisors (see below), whose sum is σ = 42840. Its totient is φ = 24384.

The previous prime is 33083. The next prime is 33091. The reversal of 33085 is 58033.

It can be written as a sum of positive squares in 4 ways, for example, as 2809 + 30276 = 53^2 + 174^2 .

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 33085 - 2¹ = 33083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33083) 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, 190 + ... + 319.

It is an arithmetic number, because the mean of its divisors is an integer number (5355).

2³³⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

33085 is a deficient number, since it is larger than the sum of its proper divisors (9755).

33085 is a wasteful number, since it uses less digits than its factorization.

33085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527.

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

The square root of 33085 is about 181.8928255869. The cubic root of 33085 is about 32.1028591249.

The spelling of 33085 in words is "thirty-three thousand, eighty-five".