42004035 has 32 divisors (see below), whose sum is σ = 77256000. Its totient is φ = 21627648.

The previous prime is 42004013. The next prime is 42004069. The reversal of 42004035 is 53040024.

It is a happy number.

It is not a de Polignac number, because 42004035 - 2¹² = 41999939 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42003999 and 42004017.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1450 + ... + 9279.

It is an arithmetic number, because the mean of its divisors is an integer number (2414250).

Almost surely, 2^42004035 is an apocalyptic number.

42004035 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42004035 is a deficient number, since it is larger than the sum of its proper divisors (35251965).

42004035 is a wasteful number, since it uses less digits than its factorization.

42004035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10772 (or 10766 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42004035 is about 6481.0519979398. The cubic root of 42004035 is about 347.6137956937.

Adding to 42004035 its reverse (53040024), we get a palindrome (95044059).

The spelling of 42004035 in words is "forty-two million, four thousand, thirty-five".