42284007 has 24 divisors (see below), whose sum is σ = 64208144. Its totient is φ = 26780544.

The previous prime is 42283991. The next prime is 42284017. The reversal of 42284007 is 70048224.

It is not a de Polignac number, because 42284007 - 2⁴ = 42283991 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42284017) 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, 12843 + ... + 15795.

Almost surely, 2^42284007 is an apocalyptic number.

42284007 is a deficient number, since it is larger than the sum of its proper divisors (21924137).

42284007 is a wasteful number, since it uses less digits than its factorization.

42284007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42284007 is about 6502.6153968999. The cubic root of 42284007 is about 348.3844097372.

The spelling of 42284007 in words is "forty-two million, two hundred eighty-four thousand, seven".