42126765 has 16 divisors (see below), whose sum is σ = 71368128. Its totient is φ = 21145856.

The previous prime is 42126761. The next prime is 42126779. The reversal of 42126765 is 56762124.

42126765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42126765 - 2² = 42126761 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42126761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 82347 + ... + 82856.

It is an arithmetic number, because the mean of its divisors is an integer number (4460508).

Almost surely, 2^42126765 is an apocalyptic number.

It is an amenable number.

42126765 is a deficient number, since it is larger than the sum of its proper divisors (29241363).

42126765 is a wasteful number, since it uses less digits than its factorization.

42126765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165228.

The product of its digits is 20160, while the sum is 33.

The square root of 42126765 is about 6490.5134619689. The cubic root of 42126765 is about 347.9520263503.

Adding to 42126765 its reverse (56762124), we get a palindrome (98888889).

The spelling of 42126765 in words is "forty-two million, one hundred twenty-six thousand, seven hundred sixty-five".