213884 has 12 divisors (see below), whose sum is σ = 408408. Its totient is φ = 97200.

The previous prime is 213881. The next prime is 213887. The reversal of 213884 is 488312.

It is an interprime number because it is at equal distance from previous prime (213881) and next prime (213887).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213884.

It is not an unprimeable number, because it can be changed into a prime (213881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2387 + ... + 2474.

It is an arithmetic number, because the mean of its divisors is an integer number (34034).

2²¹³⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

213884 is a deficient number, since it is larger than the sum of its proper divisors (194524).

213884 is a wasteful number, since it uses less digits than its factorization.

213884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4876 (or 4874 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 213884 is about 462.4759453204. The cubic root of 213884 is about 59.8034307864.

It can be divided in two parts, 2138 and 84, that added together give a palindrome (2222).

The spelling of 213884 in words is "two hundred thirteen thousand, eight hundred eighty-four".