42324 has 12 divisors (see below), whose sum is σ = 98784. Its totient is φ = 14104.

The previous prime is 42323. The next prime is 42331.

It is a happy number.

42324 is nontrivially palindromic in base 9 and base 10.

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

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

It is an Ulam number.

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42323) 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, 1752 + ... + 1775.

It is an arithmetic number, because the mean of its divisors is an integer number (8232).

2⁴²³²⁴ is an apocalyptic number.

It is an amenable number.

42324 is an abundant number, since it is smaller than the sum of its proper divisors (56460).

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 (49392).

42324 is a wasteful number, since it uses less digits than its factorization.

42324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 3532 counting only the distinct ones).

The product of its digits is 192, while the sum is 15.

The square root of 42324 is about 205.7279757349. The cubic root of 42324 is about 34.8494211278.

The spelling of 42324 in words is "forty-two thousand, three hundred twenty-four", and thus it is an iban number.