213210 has 48 divisors (see below), whose sum is σ = 584064. Its totient is φ = 53856.

The previous prime is 213209. The next prime is 213217. The reversal of 213210 is 12312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213192 and 213201.

It is not an unprimeable number, because it can be changed into a prime (213217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2019 + ... + 2121.

It is an arithmetic number, because the mean of its divisors is an integer number (12168).

2²¹³²¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292032).

213210 is an abundant number, since it is smaller than the sum of its proper divisors (370854).

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

213210 is a wasteful number, since it uses less digits than its factorization.

213210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 213210 is about 461.7466837997. The cubic root of 213210 is about 59.7405463472.

Adding to 213210 its reverse (12312), we get a palindrome (225522).

The spelling of 213210 in words is "two hundred thirteen thousand, two hundred ten".