213084 has 24 divisors (see below), whose sum is σ = 552720. Its totient is φ = 70992.

The previous prime is 213079. The next prime is 213091. The reversal of 213084 is 480312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

213084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 879 + ... + 1094.

It is an arithmetic number, because the mean of its divisors is an integer number (23030).

2²¹³⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

213084 is an abundant number, since it is smaller than the sum of its proper divisors (339636).

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

213084 is a wasteful number, since it uses less digits than its factorization.

213084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 213084 is about 461.6102251900. The cubic root of 213084 is about 59.7287758047.

Adding to 213084 its reverse (480312), we get a palindrome (693396).

It can be divided in two parts, 21308 and 4, that added together give a palindrome (21312).

The spelling of 213084 in words is "two hundred thirteen thousand, eighty-four".