212916 has 24 divisors (see below), whose sum is σ = 542304. Its totient is φ = 64480.

The previous prime is 212909. The next prime is 212917. The reversal of 212916 is 619212.

It is a junction number, because it is equal to n+sod(n) for n = 212892 and 212901.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212916.

It is not an unprimeable number, because it can be changed into a prime (212917) by changing a digit.

212916 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 7 ways as a sum of consecutive naturals, for example, 675 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (22596).

2²¹²⁹¹⁶ is an apocalyptic number.

It is an amenable number.

212916 is an abundant number, since it is smaller than the sum of its proper divisors (329388).

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

212916 is a wasteful number, since it uses less digits than its factorization.

212916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1629 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 212916 is about 461.4282176027. The cubic root of 212916 is about 59.7130745278.

It can be divided in two parts, 2129 and 16, that added together give a triangular number (2145 = T₆₅).

The spelling of 212916 in words is "two hundred twelve thousand, nine hundred sixteen".