213280 has 48 divisors (see below), whose sum is σ = 532224. Its totient is φ = 80640.

The previous prime is 213263. The next prime is 213281. The reversal of 213280 is 82312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (213281) by changing a digit.

213280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4939 + ... + 4981.

It is an arithmetic number, because the mean of its divisors is an integer number (11088).

2²¹³²⁸⁰ is an apocalyptic number.

213280 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 213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112).

213280 is an abundant number, since it is smaller than the sum of its proper divisors (318944).

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

213280 is a wasteful number, since it uses less digits than its factorization.

213280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 213280 is about 461.8224767159. The cubic root of 213280 is about 59.7470835338.

Adding to 213280 its reverse (82312), we get a palindrome (295592).

The spelling of 213280 in words is "two hundred thirteen thousand, two hundred eighty".