42035763 has 48 divisors (see below), whose sum is σ = 71705088. Its totient is φ = 21436800.

The previous prime is 42035711. The next prime is 42035779. The reversal of 42035763 is 36753024.

It is not a de Polignac number, because 42035763 - 2⁸ = 42035507 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42035763.

It is not an unprimeable number, because it can be changed into a prime (42035563) 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 47 ways as a sum of consecutive naturals, for example, 180295 + ... + 180527.

It is an arithmetic number, because the mean of its divisors is an integer number (1493856).

Almost surely, 2^42035763 is an apocalyptic number.

42035763 is a deficient number, since it is larger than the sum of its proper divisors (29669325).

42035763 is a wasteful number, since it uses less digits than its factorization.

42035763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 42035763 is about 6483.4992866507. The cubic root of 42035763 is about 347.7012977215.

Adding to 42035763 its reverse (36753024), we get a palindrome (78788787).

The spelling of 42035763 in words is "forty-two million, thirty-five thousand, seven hundred sixty-three".