42005330 has 32 divisors (see below), whose sum is σ = 77338800. Its totient is φ = 16422912.

The previous prime is 42005303. The next prime is 42005339. The reversal of 42005330 is 3350024.

It can be written as a sum of positive squares in 8 ways, for example, as 7230721 + 34774609 = 2689^2 + 5897^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42005299 and 42005308.

It is not an unprimeable number, because it can be changed into a prime (42005339) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 96794 + ... + 97226.

Almost surely, 2^42005330 is an apocalyptic number.

42005330 is a deficient number, since it is larger than the sum of its proper divisors (35333470).

42005330 is a wasteful number, since it uses less digits than its factorization.

42005330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638.

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 42005330 is about 6481.1519037899. The cubic root of 42005330 is about 347.6173680111.

Adding to 42005330 its reverse (3350024), we get a palindrome (45355354).

The spelling of 42005330 in words is "forty-two million, five thousand, three hundred thirty".