42657 has 8 divisors (see below), whose sum is σ = 58080. Its totient is φ = 27840.

The previous prime is 42649. The next prime is 42667. The reversal of 42657 is 75624.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42657 - 2³ = 42649 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

42657 is a lucky number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (42667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 297.

It is an arithmetic number, because the mean of its divisors is an integer number (7260).

2⁴²⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

42657 is a deficient number, since it is larger than the sum of its proper divisors (15423).

42657 is a wasteful number, since it uses less digits than its factorization.

42657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303.

The product of its digits is 1680, while the sum is 24.

The square root of 42657 is about 206.5357111978. The cubic root of 42657 is about 34.9405794491.

The spelling of 42657 in words is "forty-two thousand, six hundred fifty-seven".