213384 has 32 divisors (see below), whose sum is σ = 565920. Its totient is φ = 66816.

The previous prime is 213383. The next prime is 213391. The reversal of 213384 is 483312.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213384.

It is not an unprimeable number, because it can be changed into a prime (213383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147 + ... + 669.

It is an arithmetic number, because the mean of its divisors is an integer number (17685).

2²¹³³⁸⁴ is an apocalyptic number.

213384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282960).

213384 is an abundant number, since it is smaller than the sum of its proper divisors (352536).

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

213384 is a wasteful number, since it uses less digits than its factorization.

213384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 545 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 213384 is about 461.9350603710. The cubic root of 213384 is about 59.7567932847.

Adding to 213384 its reverse (483312), we get a palindrome (696696).

The spelling of 213384 in words is "two hundred thirteen thousand, three hundred eighty-four".