16881 has 8 divisors (see below), whose sum is σ = 23904. Its totient is φ = 10560.

The previous prime is 16879. The next prime is 16883. The reversal of 16881 is 18861.

16881 = T₃₄ + T₃₅ + ... + T₅₁.

16881 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16879) and next prime (16883).

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

It is not a de Polignac number, because 16881 - 2¹ = 16879 is a prime.

It is a super-2 number, since 2×16881² = 569936322, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16881.

It is not an unprimeable number, because it can be changed into a prime (16883) 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, 115 + ... + 216.

It is an arithmetic number, because the mean of its divisors is an integer number (2988).

2¹⁶⁸⁸¹ is an apocalyptic number.

It is an amenable number.

16881 is a deficient number, since it is larger than the sum of its proper divisors (7023).

16881 is a wasteful number, since it uses less digits than its factorization.

16881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351.

The product of its digits is 384, while the sum is 24.

The square root of 16881 is about 129.9269025260. The cubic root of 16881 is about 25.6526787972.

The spelling of 16881 in words is "sixteen thousand, eight hundred eighty-one".