42107793 has 64 divisors (see below), whose sum is σ = 75220992. Its totient is φ = 20321280.

The previous prime is 42107783. The next prime is 42107801. The reversal of 42107793 is 39770124.

It is not a de Polignac number, because 42107793 - 2¹² = 42103697 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 not an unprimeable number, because it can be changed into a prime (42107713) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199458 + ... + 199668.

It is an arithmetic number, because the mean of its divisors is an integer number (1175328).

Almost surely, 2^42107793 is an apocalyptic number.

42107793 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

42107793 is a deficient number, since it is larger than the sum of its proper divisors (33113199).

42107793 is a wasteful number, since it uses less digits than its factorization.

42107793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294.

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 42107793 is about 6489.0517797287. The cubic root of 42107793 is about 347.8997845267.

The spelling of 42107793 in words is "forty-two million, one hundred seven thousand, seven hundred ninety-three".