33874 has 4 divisors (see below), whose sum is σ = 50814. Its totient is φ = 16936.

The previous prime is 33871. The next prime is 33889. The reversal of 33874 is 47833.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 47833 = 31 ⋅1543.

It can be written as a sum of positive squares in only one way, i.e., 30625 + 3249 = 175^2 + 57^2 .

It is a super-2 number, since 2×33874² = 2294895752, which contains 22 as substring.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (33871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8467 + ... + 8470.

2³³⁸⁷⁴ is an apocalyptic number.

33874 is a deficient number, since it is larger than the sum of its proper divisors (16940).

33874 is a wasteful number, since it uses less digits than its factorization.

33874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16939.

The product of its digits is 2016, while the sum is 25.

The square root of 33874 is about 184.0489065439. The cubic root of 33874 is about 32.3560497418.

The spelling of 33874 in words is "thirty-three thousand, eight hundred seventy-four".