33853 has 4 divisors (see below), whose sum is σ = 34300. Its totient is φ = 33408.

The previous prime is 33851. The next prime is 33857. The reversal of 33853 is 35833.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 35833 = 7 ⋅5119.

It can be written as a sum of positive squares in 2 ways, for example, as 20164 + 13689 = 142^2 + 117^2 .

It is a cyclic number.

It is not a de Polignac number, because 33853 - 2¹ = 33851 is a prime.

It is a super-2 number, since 2×33853² = 2292051218, which contains 22 as substring.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33851) 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 3 ways as a sum of consecutive naturals, for example, 78 + ... + 271.

It is an arithmetic number, because the mean of its divisors is an integer number (8575).

2³³⁸⁵³ is an apocalyptic number.

It is an amenable number.

33853 is a deficient number, since it is larger than the sum of its proper divisors (447).

33853 is an equidigital number, since it uses as much as digits as its factorization.

33853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446.

The product of its digits is 1080, while the sum is 22.

The square root of 33853 is about 183.9918476455. The cubic root of 33853 is about 32.3493620413.

The spelling of 33853 in words is "thirty-three thousand, eight hundred fifty-three".