212868 has 42 divisors (see below), whose sum is σ = 566174. Its totient is φ = 69984.

The previous prime is 212867. The next prime is 212869. The reversal of 212868 is 868212.

It is an interprime number because it is at equal distance from previous prime (212867) and next prime (212869).

It can be written as a sum of positive squares in only one way, i.e., 186624 + 26244 = 432^2 + 162^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212867) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2880 + ... + 2952.

212868 is a Friedman number, since it can be written as 2628*81, using all its digits and the basic arithmetic operations.

2²¹²⁸⁶⁸ 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 212868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283087).

212868 is an abundant number, since it is smaller than the sum of its proper divisors (353306).

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

212868 is an equidigital number, since it uses as much as digits as its factorization.

212868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 212868 is about 461.3762022471. The cubic root of 212868 is about 59.7085869318.

The spelling of 212868 in words is "two hundred twelve thousand, eight hundred sixty-eight".