6981 has 8 divisors (see below), whose sum is σ = 10080. Its totient is φ = 4272.

The previous prime is 6977. The next prime is 6983. The reversal of 6981 is 1896.

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

It is not a de Polignac number, because 6981 - 2² = 6977 is a prime.

It is a super-2 number, since 2×6981² = 97468722, which contains 22 as substring.

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.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

6981 is a lucky number.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6981.

It is not an unprimeable number, because it can be changed into a prime (6983) 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, 51 + ... + 128.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2⁶⁹⁸¹ is an apocalyptic number.

It is an amenable number.

6981 is a deficient number, since it is larger than the sum of its proper divisors (3099).

6981 is a wasteful number, since it uses less digits than its factorization.

6981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195.

The product of its digits is 432, while the sum is 24.

The square root of 6981 is about 83.5523787812. The cubic root of 6981 is about 19.1119886723. Note that the first 3 decimals are identical.

It can be divided in two parts, 6 and 981, that multiplied together give a triangular number (5886 = T₁₀₈).

The spelling of 6981 in words is "six thousand, nine hundred eighty-one".