14180 has 12 divisors (see below), whose sum is σ = 29820. Its totient is φ = 5664.

The previous prime is 14177. The next prime is 14197. The reversal of 14180 is 8141.

14180 = T₄ + T₅ + ... + T₄₃.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3364 + 10816 = 58^2 + 104^2 .

It is a nialpdrome in base 11.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 335 + ... + 374.

It is an arithmetic number, because the mean of its divisors is an integer number (2485).

2¹⁴¹⁸⁰ is an apocalyptic number.

14180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14180 is an abundant number, since it is smaller than the sum of its proper divisors (15640).

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 (14910).

14180 is a wasteful number, since it uses less digits than its factorization.

14180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 14180 is about 119.0798051728. The cubic root of 14180 is about 24.2042749090.

The spelling of 14180 in words is "fourteen thousand, one hundred eighty".