33126 has 8 divisors (see below), whose sum is σ = 66264. Its totient is φ = 11040.

The previous prime is 33119. The next prime is 33149. The reversal of 33126 is 62133.

33126 = 11² + 12² + ... + 46².

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

33126 is an admirable number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2755 + ... + 2766.

It is an arithmetic number, because the mean of its divisors is an integer number (8283).

2³³¹²⁶ is an apocalyptic number.

33126 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33132).

33126 is a wasteful number, since it uses less digits than its factorization.

33126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5526.

The product of its digits is 108, while the sum is 15.

The square root of 33126 is about 182.0054944226. The cubic root of 33126 is about 32.1161146173.

Adding to 33126 its reverse (62133), we get a palindrome (95259).

The spelling of 33126 in words is "thirty-three thousand, one hundred twenty-six".