42687 has 20 divisors (see below), whose sum is σ = 69696. Its totient is φ = 25920.

The previous prime is 42683. The next prime is 42689. The reversal of 42687 is 78624.

It is not a de Polignac number, because 42687 - 2² = 42683 is a prime.

It is a super-3 number, since 3×42687³ = 233350189010109, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 4⁷ + 2¹³ + 6⁴ + 8 + 7⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 42687.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42683) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1362 + ... + 1392.

2⁴²⁶⁸⁷ is an apocalyptic number.

42687 is a deficient number, since it is larger than the sum of its proper divisors (27009).

42687 is a wasteful number, since it uses less digits than its factorization.

42687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 51 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 42687 is about 206.6083250985. The cubic root of 42687 is about 34.9487685838.

Subtracting 42687 from its reverse (78624), we obtain a cube (35937 = 33³).

It can be divided in two parts, 42 and 687, that added together give a 6-th power (729 = 3⁶).

The spelling of 42687 in words is "forty-two thousand, six hundred eighty-seven".