212856 has 48 divisors (see below), whose sum is σ = 622440. Its totient is φ = 60480.

The previous prime is 212851. The next prime is 212867. The reversal of 212856 is 658212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212851) by changing a digit.

212856 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, 1086 + ... + 1266.

2²¹²⁸⁵⁶ 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 212856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311220).

212856 is an abundant number, since it is smaller than the sum of its proper divisors (409584).

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

212856 is a wasteful number, since it uses less digits than its factorization.

212856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 212856 is about 461.3631974920. The cubic root of 212856 is about 59.7074649274.

The spelling of 212856 in words is "two hundred twelve thousand, eight hundred fifty-six".