213282 has 36 divisors (see below), whose sum is σ = 502866. Its totient is φ = 65280.

The previous prime is 213281. The next prime is 213287. The reversal of 213282 is 282312.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 184041 + 29241 = 429^2 + 171^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5182 + ... + 5222.

2²¹³²⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251433).

213282 is an abundant number, since it is smaller than the sum of its proper divisors (289584).

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

213282 is a wasteful number, since it uses less digits than its factorization.

213282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 63 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 213282 is about 461.8246420450. The cubic root of 213282 is about 59.7472702896.

Adding to 213282 its reverse (282312), we get a palindrome (495594).

The spelling of 213282 in words is "two hundred thirteen thousand, two hundred eighty-two".