213180 has 96 divisors (see below), whose sum is σ = 725760. Its totient is φ = 46080.

The previous prime is 213173. The next prime is 213181. The reversal of 213180 is 81312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213181) by changing a digit.

213180 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 31 ways as a sum of consecutive naturals, for example, 11211 + ... + 11229.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2²¹³¹⁸⁰ is an apocalyptic number.

213180 is a gapful number since it is divisible by the number (20) 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 213180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

213180 is an abundant number, since it is smaller than the sum of its proper divisors (512580).

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

213180 is a wasteful number, since it uses less digits than its factorization.

213180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 213180 is about 461.7141973126. The cubic root of 213180 is about 59.7377442578.

Adding to 213180 its reverse (81312), we get a palindrome (294492).

It can be divided in two parts, 2131 and 80, that added together give a triangular number (2211 = T₆₆).

The spelling of 213180 in words is "two hundred thirteen thousand, one hundred eighty".