980 has 18 divisors (see below), whose sum is σ = 2394. Its totient is φ = 336.

The previous prime is 977. The next prime is 983. The reversal of 980 is 89.

980 = T_{15} + T_{16} + ... +
T_{20}.

980 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (977) and next prime (983).

It can be written as a sum of positive squares in only one way, i.e., 784 + 196 = 28^2 + 14^2 .

980 is an undulating number in base 13.

It is a plaindrome in base 15.

It is a nialpdrome in base 4, base 10, base 11 and base 14.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 137 + ... + 143.

It is an arithmetic number, because the mean of its divisors is an integer number (133).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197).

980 is an abundant number, since it is smaller than the sum of its proper divisors (1414).

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

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

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

The sum of its prime factors is 23 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 980 is about 31.3049516850. The cubic root of 980 is about 9.9328838838.

The spelling of 980 in words is "nine hundred eighty", and thus it is an aban number and an oban number.

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