17980 has 24 divisors (see below), whose sum is σ = 40320. Its totient is φ = 6720.

The previous prime is 17977. The next prime is 17981. The reversal of 17980 is 8971.

17980 is an undulating number in base 12.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17981) 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, 565 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

2¹⁷⁹⁸⁰ is an apocalyptic number.

17980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160).

17980 is an abundant number, since it is smaller than the sum of its proper divisors (22340).

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

17980 is a wasteful number, since it uses less digits than its factorization.

17980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 17980 is about 134.0895223349. The cubic root of 17980 is about 26.1977038953.

Subtracting from 17980 its sum of digits (25), we obtain a triangular number (17955 = T₁₈₉).

Subtracting from 17980 its reverse (8971), we obtain a palindrome (9009).

The spelling of 17980 in words is "seventeen thousand, nine hundred eighty".