42084333 has 32 divisors (see below), whose sum is σ = 66453120. Its totient is φ = 26231040.

The previous prime is 42084313. The next prime is 42084349. The reversal of 42084333 is 33348024.

42084333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42084333 - 2⁶ = 42084269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42084297 and 42084306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42084313) 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 31 ways as a sum of consecutive naturals, for example, 126978 + ... + 127308.

It is an arithmetic number, because the mean of its divisors is an integer number (2076660).

Almost surely, 2^42084333 is an apocalyptic number.

It is an amenable number.

42084333 is a deficient number, since it is larger than the sum of its proper divisors (24368787).

42084333 is a wasteful number, since it uses less digits than its factorization.

42084333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 42084333 is about 6487.2438677762. The cubic root of 42084333 is about 347.8351627186.

The spelling of 42084333 in words is "forty-two million, eighty-four thousand, three hundred thirty-three".