42881 has 4 divisors (see below), whose sum is σ = 43332. Its totient is φ = 42432.

The previous prime is 42863. The next prime is 42899. The reversal of 42881 is 18824.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is an interprime number because it is at equal distance from previous prime (42863) and next prime (42899).

It can be written as a sum of positive squares in 2 ways, for example, as 9025 + 33856 = 95^2 + 184^2 .

It is a cyclic number.

It is not a de Polignac number, because 42881 - 2¹⁴ = 26497 is a prime.

It is a super-2 number, since 2×42881² = 3677560322, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42881.

It is not an unprimeable number, because it can be changed into a prime (42821) 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 3 ways as a sum of consecutive naturals, for example, 20 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (10833).

2⁴²⁸⁸¹ is an apocalyptic number.

It is an amenable number.

42881 is a deficient number, since it is larger than the sum of its proper divisors (451).

42881 is a wasteful number, since it uses less digits than its factorization.

42881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450.

The product of its digits is 512, while the sum is 23.

The square root of 42881 is about 207.0772802603. The cubic root of 42881 is about 35.0016325769.

The spelling of 42881 in words is "forty-two thousand, eight hundred eighty-one".