42257007 has 24 divisors (see below), whose sum is σ = 69196400. Its totient is φ = 24634368.

The previous prime is 42256961. The next prime is 42257027. The reversal of 42257007 is 70075224.

42257007 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 42257007 - 2¹⁴ = 42240623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42257027) 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 23 ways as a sum of consecutive naturals, for example, 7282 + ... + 11727.

Almost surely, 2^42257007 is an apocalyptic number.

42257007 is a deficient number, since it is larger than the sum of its proper divisors (26939393).

42257007 is a wasteful number, since it uses less digits than its factorization.

42257007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19047 (or 19044 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 42257007 is about 6500.5389776541. The cubic root of 42257007 is about 348.3102415701.

It can be divided in two parts, 42 and 257007, that added together give a square (257049 = 507²).

The spelling of 42257007 in words is "forty-two million, two hundred fifty-seven thousand, seven".