33849 has 6 divisors (see below), whose sum is σ = 48906. Its totient is φ = 22560.

The previous prime is 33829. The next prime is 33851. The reversal of 33849 is 94833.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 5625 = 168^2 + 75^2 .

It is not a de Polignac number, because 33849 - 2⁷ = 33721 is a prime.

It is a super-2 number, since 2×33849² = 2291509602, which contains 22 as substring.

It is a Curzon 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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1872 + ... + 1889.

It is an arithmetic number, because the mean of its divisors is an integer number (8151).

2³³⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

33849 is a deficient number, since it is larger than the sum of its proper divisors (15057).

33849 is a wasteful number, since it uses less digits than its factorization.

33849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767 (or 3764 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 33849 is about 183.9809772775. The cubic root of 33849 is about 32.3480878800.

The spelling of 33849 in words is "thirty-three thousand, eight hundred forty-nine".