6980 has 12 divisors (see below), whose sum is σ = 14700. Its totient is φ = 2784.

The previous prime is 6977. The next prime is 6983. The reversal of 6980 is 896.

It is an interprime number because it is at equal distance from previous prime (6977) and next prime (6983).

It can be written as a sum of positive squares in 2 ways, for example, as 3844 + 3136 = 62^2 + 56^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 155 + ... + 194.

It is an arithmetic number, because the mean of its divisors is an integer number (1225).

It is an amenable number.

6980 is an abundant number, since it is smaller than the sum of its proper divisors (7720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7350).

6980 is a wasteful number, since it uses less digits than its factorization.

6980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 6980 is about 83.5463942968. The cubic root of 6980 is about 19.1110760571. Note that the first 3 decimals are identical.

Subtracting from 6980 its reverse (896), we obtain a square (6084 = 78²).

The spelling of 6980 in words is "six thousand, nine hundred eighty".