33124 has 27 divisors (see below), whose sum is σ = 73017. Its totient is φ = 13104.

The previous prime is 33119. The next prime is 33149. The reversal of 33124 is 42133.

33124 = T₁₈₁ + T₁₈₂.

33124 = 25² + 26² + ... + 48².

The square root of 33124 is 182.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4900 + 28224 = 70^2 + 168^2 .

It is a hoax number, since the sum of its digits (13) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a nialpdrome in base 14.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 2542 + ... + 2554.

2³³¹²⁴ is an apocalyptic number.

33124 is the 182-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33124

33124 is an abundant number, since it is smaller than the sum of its proper divisors (39893).

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

33124 is a wasteful number, since it uses less digits than its factorization.

33124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 22 counting only the distinct ones).

The product of its digits is 72, while the sum is 13.

The cubic root of 33124 is about 32.1154682618.

Adding to 33124 its reverse (42133), we get a palindrome (75257).

Subtracting 33124 from its reverse (42133), we obtain a palindrome (9009).

The spelling of 33124 in words is "thirty-three thousand, one hundred twenty-four".