42804135 has 48 divisors (see below), whose sum is σ = 82862208. Its totient is φ = 20260800.

The previous prime is 42804109. The next prime is 42804161. The reversal of 42804135 is 53140824.

42804135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42804109) and next prime (42804161).

It is not a de Polignac number, because 42804135 - 2⁶ = 42804071 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42804099 and 42804108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20280 + ... + 22290.

It is an arithmetic number, because the mean of its divisors is an integer number (1726296).

Almost surely, 2^42804135 is an apocalyptic number.

42804135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42804135 is a deficient number, since it is larger than the sum of its proper divisors (40058073).

42804135 is a wasteful number, since it uses less digits than its factorization.

42804135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42804135 is about 6542.4869124821. The cubic root of 42804135 is about 349.8070637321.

Adding to 42804135 its reverse (53140824), we get a palindrome (95944959).

The spelling of 42804135 in words is "forty-two million, eight hundred four thousand, one hundred thirty-five".