212310 has 48 divisors (see below), whose sum is σ = 632736. Its totient is φ = 48384.

The previous prime is 212297. The next prime is 212353. The reversal of 212310 is 13212.

It is a happy number.

It is a super-2 number, since 2×212310² = 90151072200, 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 11.

It is a junction number, because it is equal to n+sod(n) for n = 212292 and 212301.

It is a congruent number.

It is an unprimeable number.

212310 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462 + ... + 798.

It is an arithmetic number, because the mean of its divisors is an integer number (13182).

2²¹²³¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316368).

212310 is an abundant number, since it is smaller than the sum of its proper divisors (420426).

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

212310 is a wasteful number, since it uses less digits than its factorization.

212310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 354 counting only the distinct ones).

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

The square root of 212310 is about 460.7710928433. The cubic root of 212310 is about 59.6563690533.

Adding to 212310 its reverse (13212), we get a palindrome (225522).

The spelling of 212310 in words is "two hundred twelve thousand, three hundred ten", and thus it is an iban number.