33879 has 8 divisors (see below), whose sum is σ = 47232. Its totient is φ = 21560.

The previous prime is 33871. The next prime is 33889. The reversal of 33879 is 97833.

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

It is a cyclic number.

It is not a de Polignac number, because 33879 - 2³ = 33871 is a prime.

It is a super-2 number, since 2×33879² = 2295573282, which contains 22 as substring.

It is a plaindrome in base 11.

It is a congruent number.

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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177 + ... + 314.

It is an arithmetic number, because the mean of its divisors is an integer number (5904).

2³³⁸⁷⁹ is an apocalyptic number.

33879 is a deficient number, since it is larger than the sum of its proper divisors (13353).

33879 is a wasteful number, since it uses less digits than its factorization.

33879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517.

The product of its digits is 4536, while the sum is 30.

The square root of 33879 is about 184.0624893888. The cubic root of 33879 is about 32.3576416441.

The spelling of 33879 in words is "thirty-three thousand, eight hundred seventy-nine".