42304 has 14 divisors (see below), whose sum is σ = 84074. Its totient is φ = 21120.

The previous prime is 42299. The next prime is 42307. The reversal of 42304 is 40324.

It can be written as a sum of positive squares in only one way, i.e., 40000 + 2304 = 200^2 + 48^2 .

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42307) by changing a digit.

42304 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 267 + ... + 394.

2⁴²³⁰⁴ is an apocalyptic number.

It is an amenable number.

42304 is a deficient number, since it is larger than the sum of its proper divisors (41770).

42304 is an equidigital number, since it uses as much as digits as its factorization.

42304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 42304 is about 205.6793621149. The cubic root of 42304 is about 34.8439309548.

Adding to 42304 its reverse (40324), we get a palindrome (82628).

It can be divided in two parts, 4 and 2304, that multiplied together give a square (9216 = 96²).

The spelling of 42304 in words is "forty-two thousand, three hundred four", and thus it is an iban number.