210312 has 48 divisors (see below), whose sum is σ = 599040. Its totient is φ = 66528.

The previous prime is 210299. The next prime is 210317. The reversal of 210312 is 213012.

It is a happy number.

It is a super-2 number, since 2×210312² = 88462274688, which contains 22 as substring.

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

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 210294 and 210303.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 210312.

It is not an unprimeable number, because it can be changed into a prime (210317) by changing a digit.

210312 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 11 ways as a sum of consecutive naturals, for example, 1593 + ... + 1719.

It is an arithmetic number, because the mean of its divisors is an integer number (12480).

2²¹⁰³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299520).

210312 is an abundant number, since it is smaller than the sum of its proper divisors (388728).

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

210312 is a wasteful number, since it uses less digits than its factorization.

210312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

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

The square root of 210312 is about 458.5978630565. The cubic root of 210312 is about 59.4686415274.

Adding to 210312 its reverse (213012), we get a palindrome (423324).

The spelling of 210312 in words is "two hundred ten thousand, three hundred twelve", and thus it is an iban number.