212364 has 36 divisors (see below), whose sum is σ = 570024. Its totient is φ = 66432.

The previous prime is 212353. The next prime is 212369. The reversal of 212364 is 463212.

It is a happy number.

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 d-powerful number, because it can be written as 2⁷ + 1 + 3¹¹ + 2¹⁵ + 6⁴ + 4⁵ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 212364.

It is not an unprimeable number, because it can be changed into a prime (212369) by changing a digit.

212364 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, 439 + ... + 785.

It is an arithmetic number, because the mean of its divisors is an integer number (15834).

2²¹²³⁶⁴ 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 212364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285012).

212364 is an abundant number, since it is smaller than the sum of its proper divisors (357660).

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

212364 is a wasteful number, since it uses less digits than its factorization.

212364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 369 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 212364 is about 460.8296865437. The cubic root of 212364 is about 59.6614263922.

Adding to 212364 its reverse (463212), we get a palindrome (675576).

It can be divided in two parts, 2123 and 64, that added together give a 7-th power (2187 = 3⁷).

The spelling of 212364 in words is "two hundred twelve thousand, three hundred sixty-four".