213288 has 16 divisors (see below), whose sum is σ = 533280. Its totient is φ = 71088.

The previous prime is 213287. The next prime is 213289. The reversal of 213288 is 882312.

It is an interprime number because it is at equal distance from previous prime (213287) and next prime (213289).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 8887 = 213288 / (2 + 1 + 3 + 2 + 8 + 8).

It is a nude number because it is divisible by every one of its digits.

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 3 ways as a sum of consecutive naturals, for example, 4420 + ... + 4467.

It is an arithmetic number, because the mean of its divisors is an integer number (33330).

2²¹³²⁸⁸ is an apocalyptic number.

It is an amenable number.

213288 is an abundant number, since it is smaller than the sum of its proper divisors (319992).

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

213288 is a wasteful number, since it uses less digits than its factorization.

213288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8896 (or 8892 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 213288 is about 461.8311379714. The cubic root of 213288 is about 59.7478305498.

Adding to 213288 its sum of digits (24), we get a palindrome (213312).

The spelling of 213288 in words is "two hundred thirteen thousand, two hundred eighty-eight".