42681 has 8 divisors (see below), whose sum is σ = 58464. Its totient is φ = 27680.

The previous prime is 42677. The next prime is 42683. The reversal of 42681 is 18624.

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

It is a cyclic number.

It is not a de Polignac number, because 42681 - 2² = 42677 is a prime.

It is a super-2 number, since 2×42681² = 3643335522, which contains 22 as substring.

It is a Curzon number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (7308).

2⁴²⁶⁸¹ is an apocalyptic number.

42681 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42681 is a deficient number, since it is larger than the sum of its proper divisors (15783).

42681 is a wasteful number, since it uses less digits than its factorization.

42681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391.

The product of its digits is 384, while the sum is 21.

The square root of 42681 is about 206.5938043602. The cubic root of 42681 is about 34.9471310639.

The spelling of 42681 in words is "forty-two thousand, six hundred eighty-one".