213828 has 24 divisors (see below), whose sum is σ = 506688. Its totient is φ = 70176.

The previous prime is 213827. The next prime is 213833. The reversal of 213828 is 828312.

It is a junction number, because it is equal to n+sod(n) for n = 213798 and 213807.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 213828.

It is not an unprimeable number, because it can be changed into a prime (213821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1150 + ... + 1322.

It is an arithmetic number, because the mean of its divisors is an integer number (21112).

2²¹³⁸²⁸ is an apocalyptic number.

It is an amenable number.

213828 is an abundant number, since it is smaller than the sum of its proper divisors (292860).

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

213828 is a wasteful number, since it uses less digits than its factorization.

213828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 281 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 213828 is about 462.4153976675. The cubic root of 213828 is about 59.7982110030.

The spelling of 213828 in words is "two hundred thirteen thousand, eight hundred twenty-eight".