33485 has 8 divisors (see below), whose sum is σ = 41496. Its totient is φ = 25920.

The previous prime is 33479. The next prime is 33487. The reversal of 33485 is 58433.

It can be written as a sum of positive squares in 4 ways, for example, as 1444 + 32041 = 38^2 + 179^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 33485 - 2⁴ = 33469 is a prime.

It is a super-2 number, since 2×33485² = 2242490450, 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 33485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33487) 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, 95 + ... + 275.

It is an arithmetic number, because the mean of its divisors is an integer number (5187).

2³³⁴⁸⁵ is an apocalyptic number.

It is an amenable number.

33485 is a deficient number, since it is larger than the sum of its proper divisors (8011).

33485 is a wasteful number, since it uses less digits than its factorization.

33485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223.

The product of its digits is 1440, while the sum is 23.

The square root of 33485 is about 182.9890707119. The cubic root of 33485 is about 32.2317164958.

The spelling of 33485 in words is "thirty-three thousand, four hundred eighty-five".