42588675 has 72 divisors (see below), whose sum is σ = 80954640. Its totient is φ = 21369600.

The previous prime is 42588653. The next prime is 42588697. The reversal of 42588675 is 57688524.

42588675 is a `hidden beast` number, since 4 + 2 + 588 + 67 + 5 = 666.

It is a Cunningham number, because it is equal to 6526²-1.

It is an interprime number because it is at equal distance from previous prime (42588653) and next prime (42588697).

It is not a de Polignac number, because 42588675 - 2⁵ = 42588643 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42588675.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 397972 + ... + 398078.

It is an arithmetic number, because the mean of its divisors is an integer number (1124370).

Almost surely, 2^42588675 is an apocalyptic number.

42588675 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42588675 is a deficient number, since it is larger than the sum of its proper divisors (38365965).

42588675 is a wasteful number, since it uses less digits than its factorization.

42588675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 42588675 is about 6525.9999233834. Note that the first 4 decimals coincide. The cubic root of 42588675 is about 349.2191435441.

The spelling of 42588675 in words is "forty-two million, five hundred eighty-eight thousand, six hundred seventy-five".