32124 has 12 divisors (see below), whose sum is σ = 74984. Its totient is φ = 10704.

The previous prime is 32119. The next prime is 32141. The reversal of 32124 is 42123.

32124 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 2677 = 32124 / (3 + 2 + 1 + 2 + 4).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32124.

It is an unprimeable number.

32124 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1327 + ... + 1350.

2³²¹²⁴ is an apocalyptic number.

It is an amenable number.

32124 is an abundant number, since it is smaller than the sum of its proper divisors (42860).

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 (37492).

32124 is a wasteful number, since it uses less digits than its factorization.

32124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2682 counting only the distinct ones).

The product of its digits is 48, while the sum is 12.

The square root of 32124 is about 179.2316936259. The cubic root of 32124 is about 31.7889760451.

Adding to 32124 its reverse (42123), we get a palindrome (74247).

Subtracting 32124 from its reverse (42123), we obtain a palindrome (9999).

The spelling of 32124 in words is "thirty-two thousand, one hundred twenty-four".