214180 has 12 divisors (see below), whose sum is σ = 449820. Its totient is φ = 85664.

The previous prime is 214177. The next prime is 214189. The reversal of 214180 is 81412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 60516 = 392^2 + 246^2 .

It is not an unprimeable number, because it can be changed into a prime (214189) 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 3 ways as a sum of consecutive naturals, for example, 5335 + ... + 5374.

It is an arithmetic number, because the mean of its divisors is an integer number (37485).

2²¹⁴¹⁸⁰ is an apocalyptic number.

214180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214180 is an abundant number, since it is smaller than the sum of its proper divisors (235640).

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

214180 is a wasteful number, since it uses less digits than its factorization.

214180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10718 (or 10716 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 214180 is about 462.7958513211. The cubic root of 214180 is about 59.8310059452.

Adding to 214180 its reverse (81412), we get a palindrome (295592).

The spelling of 214180 in words is "two hundred fourteen thousand, one hundred eighty".