33795 has 12 divisors (see below), whose sum is σ = 58656. Its totient is φ = 18000.

The previous prime is 33791. The next prime is 33797. The reversal of 33795 is 59733.

Added to its reverse (59733) it gives a triangular number (93528 = T₄₃₂).

It is not a de Polignac number, because 33795 - 2² = 33791 is a prime.

It is a super-2 number, since 2×33795² = 2284204050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (4888).

2³³⁷⁹⁵ is an apocalyptic number.

33795 is a deficient number, since it is larger than the sum of its proper divisors (24861).

33795 is a wasteful number, since it uses less digits than its factorization.

33795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 759 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 33795 is about 183.8341643982. The cubic root of 33795 is about 32.3308768696.

Adding to 33795 its reverse (59733), we get a triangular number (93528 = T₄₃₂).

It can be divided in two parts, 33 and 795, that added together give a palindrome (828).

The spelling of 33795 in words is "thirty-three thousand, seven hundred ninety-five".