42004127 has 24 divisors (see below), whose sum is σ = 49616112. Its totient is φ = 35251200.

The previous prime is 42004111. The next prime is 42004129. The reversal of 42004127 is 72140024.

It is not a de Polignac number, because 42004127 - 2⁴ = 42004111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42004099 and 42004108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42004129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231977 + ... + 232157.

It is an arithmetic number, because the mean of its divisors is an integer number (2067338).

Almost surely, 2^42004127 is an apocalyptic number.

42004127 is a deficient number, since it is larger than the sum of its proper divisors (7611985).

42004127 is a wasteful number, since it uses less digits than its factorization.

42004127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 42004127 is about 6481.0590955491. The cubic root of 42004127 is about 347.6140494824.

The spelling of 42004127 in words is "forty-two million, four thousand, one hundred twenty-seven".