212316 has 24 divisors (see below), whose sum is σ = 533904. Its totient is φ = 65280.

The previous prime is 212297. The next prime is 212353. The reversal of 212316 is 613212.

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

It is a junction number, because it is equal to n+sod(n) for n = 212295 and 212304.

It is a congruent number.

It is an unprimeable number.

212316 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 7 ways as a sum of consecutive naturals, for example, 525 + ... + 836.

It is an arithmetic number, because the mean of its divisors is an integer number (22246).

2²¹²³¹⁶ is an apocalyptic number.

212316 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

212316 is an abundant number, since it is smaller than the sum of its proper divisors (321588).

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

212316 is a wasteful number, since it uses less digits than its factorization.

212316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1379 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 212316 is about 460.7776036224. Note that the first 3 decimals coincide. The cubic root of 212316 is about 59.6569310222.

Adding to 212316 its reverse (613212), we get a palindrome (825528).

It can be divided in two parts, 212 and 316, that added together give a triangular number (528 = T₃₂).

The spelling of 212316 in words is "two hundred twelve thousand, three hundred sixteen".