42824 has 16 divisors (see below), whose sum is σ = 82620. Its totient is φ = 20800.

The previous prime is 42821. The next prime is 42829.

42824 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 36100 + 6724 = 190^2 + 82^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 42796 and 42805.

It is not an unprimeable number, because it can be changed into a prime (42821) 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, 374 + ... + 474.

2⁴²⁸²⁴ is an apocalyptic number.

It is an amenable number.

42824 is a deficient number, since it is larger than the sum of its proper divisors (39796).

42824 is a wasteful number, since it uses less digits than its factorization.

42824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 42824 is about 206.9396047160. The cubic root of 42824 is about 34.9861169429.

The spelling of 42824 in words is "forty-two thousand, eight hundred twenty-four".