42084321 has 16 divisors (see below), whose sum is σ = 56880000. Its totient is φ = 27675648.

The previous prime is 42084313. The next prime is 42084349. The reversal of 42084321 is 12348024.

It is not a de Polignac number, because 42084321 - 2³ = 42084313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42084291 and 42084300.

It is not an unprimeable number, because it can be changed into a prime (42084311) 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 15 ways as a sum of consecutive naturals, for example, 93505 + ... + 93953.

It is an arithmetic number, because the mean of its divisors is an integer number (3555000).

Almost surely, 2^42084321 is an apocalyptic number.

It is an amenable number.

42084321 is a deficient number, since it is larger than the sum of its proper divisors (14795679).

42084321 is a wasteful number, since it uses less digits than its factorization.

42084321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42084321 is about 6487.2429428841. The cubic root of 42084321 is about 347.8351296578.

The spelling of 42084321 in words is "forty-two million, eighty-four thousand, three hundred twenty-one".