213684 has 12 divisors (see below), whose sum is σ = 498624. Its totient is φ = 71224.
The previous prime is 213659. The next prime is 213713. The reversal of 213684 is 486312.
213684 = T145 + T146 + ... + T162.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (12).
It is a congruent number.
It is an unprimeable number.
213684 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 3 ways as a sum of consecutive naturals, for example, 8892 + ... + 8915.
It is an arithmetic number, because the mean of its divisors is an integer number (41552).
2213684 is an apocalyptic number.
It is an amenable number.
213684 is an abundant number, since it is smaller than the sum of its proper divisors (284940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213684 is a wasteful number, since it uses less digits than its factorization.
213684 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17814 (or 17812 counting only the distinct ones).
The product of its digits is 1152, while the sum is 24.
The square root of 213684 is about 462.2596672867. The cubic root of 213684 is about 59.7847845168.
Adding to 213684 its reverse (486312), we get a palindrome (699996).
The spelling of 213684 in words is "two hundred thirteen thousand, six hundred eighty-four".
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