42582267 has 80 divisors (see below), whose sum is σ = 80498880. Its totient is φ = 21835008.

The previous prime is 42582257. The next prime is 42582277. The reversal of 42582267 is 76228524.

42582267 is a `hidden beast` number, since 425 + 8 + 226 + 7 = 666.

42582267 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42582257) and next prime (42582277).

It is not a de Polignac number, because 42582267 - 2¹⁵ = 42549499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42582257) 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 79 ways as a sum of consecutive naturals, for example, 390609 + ... + 390717.

It is an arithmetic number, because the mean of its divisors is an integer number (1006236).

Almost surely, 2^42582267 is an apocalyptic number.

42582267 is a deficient number, since it is larger than the sum of its proper divisors (37916613).

42582267 is a wasteful number, since it uses less digits than its factorization.

42582267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 42582267 is about 6525.5089456685. The cubic root of 42582267 is about 349.2016278664.

It can be divided in two parts, 42582 and 267, that added together give a square (42849 = 207²).

The spelling of 42582267 in words is "forty-two million, five hundred eighty-two thousand, two hundred sixty-seven".