213084000 has 192 divisors, whose sum is σ = 776018880. Its totient is φ = 56793600.

The previous prime is 213083971. The next prime is 213084013. The reversal of 213084000 is 480312.

It is a happy number.

213084000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107014 + ... + 108986.

It is an arithmetic number, because the mean of its divisors is an integer number (4041765).

Almost surely, 2^213084000 is an apocalyptic number.

213084000 is a gapful number since it is divisible by the number (20) 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 213084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388009440).

213084000 is an abundant number, since it is smaller than the sum of its proper divisors (562934880).

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

213084000 is a wasteful number, since it uses less digits than its factorization.

213084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1983 counting only the distinct ones).

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

The square root of 213084000 is about 14597.3970282376. The cubic root of 213084000 is about 597.2877580467.

The spelling of 213084000 in words is "two hundred thirteen million, eighty-four thousand".