212832 has 36 divisors (see below), whose sum is σ = 606060. Its totient is φ = 70848.

The previous prime is 212827. The next prime is 212837. The reversal of 212832 is 238212.

It is a happy number.

212832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212827) and next prime (212837).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

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 (212837) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 82 + ... + 657.

It is an arithmetic number, because the mean of its divisors is an integer number (16835).

2²¹²⁸³² 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 212832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303030).

212832 is an abundant number, since it is smaller than the sum of its proper divisors (393228).

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

212832 is a wasteful number, since it uses less digits than its factorization.

212832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 744 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 212832 is about 461.3371868818. The cubic root of 212832 is about 59.7052207920.

The spelling of 212832 in words is "two hundred twelve thousand, eight hundred thirty-two".