33873 has 8 divisors (see below), whose sum is σ = 51648. Its totient is φ = 19344.

The previous prime is 33871. The next prime is 33889. The reversal of 33873 is 37833.

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

It is not a de Polignac number, because 33873 - 2¹ = 33871 is a prime.

It is a super-2 number, since 2×33873² = 2294760258, 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 in 7 ways as a sum of consecutive naturals, for example, 786 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (6456).

2³³⁸⁷³ is an apocalyptic number.

It is an amenable number.

33873 is a deficient number, since it is larger than the sum of its proper divisors (17775).

33873 is a wasteful number, since it uses less digits than its factorization.

33873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623.

The product of its digits is 1512, while the sum is 24.

The square root of 33873 is about 184.0461898546. The cubic root of 33873 is about 32.3557313426.

The spelling of 33873 in words is "thirty-three thousand, eight hundred seventy-three".