13980 has 24 divisors (see below), whose sum is σ = 39312. Its totient is φ = 3712.

The previous prime is 13967. The next prime is 13997. The reversal of 13980 is 8931.

13980 is nontrivially palindromic in base 11.

It is a plaindrome in base 16.

It is a nialpdrome in base 7, base 12 and base 15.

It is a congruent number.

It is an unprimeable number.

13980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 176.

It is an arithmetic number, because the mean of its divisors is an integer number (1638).

2¹³⁹⁸⁰ is an apocalyptic number.

13980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13980 is an abundant number, since it is smaller than the sum of its proper divisors (25332).

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 (19656).

13980 is a wasteful number, since it uses less digits than its factorization.

13980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 13980 is about 118.2370500309. The cubic root of 13980 is about 24.0899403043.

Adding to 13980 its product of nonzero digits (216), we get a triangular number (14196 = T₁₆₈).

The spelling of 13980 in words is "thirteen thousand, nine hundred eighty".