33127 has 4 divisors (see below), whose sum is σ = 33496. Its totient is φ = 32760.

The previous prime is 33119. The next prime is 33149. The reversal of 33127 is 72133.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 72133 = 53 ⋅1361.

It is a cyclic number.

It is not a de Polignac number, because 33127 - 2³ = 33119 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 33127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33107) 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 3 ways as a sum of consecutive naturals, for example, 52 + ... + 262.

It is an arithmetic number, because the mean of its divisors is an integer number (8374).

2³³¹²⁷ is an apocalyptic number.

33127 is a deficient number, since it is larger than the sum of its proper divisors (369).

33127 is a wasteful number, since it uses less digits than its factorization.

33127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368.

The product of its digits is 126, while the sum is 16.

The square root of 33127 is about 182.0082415716. The cubic root of 33127 is about 32.1164377854.

The spelling of 33127 in words is "thirty-three thousand, one hundred twenty-seven".