213211000 has 64 divisors (see below), whose sum is σ = 504092160. Its totient is φ = 84400000.

The previous prime is 213210979. The next prime is 213211001. The reversal of 213211000 is 112312.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213211001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99945 + ... + 102055.

It is an arithmetic number, because the mean of its divisors is an integer number (7876440).

Almost surely, 2^213211000 is an apocalyptic number.

213211000 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 213211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252046080).

213211000 is an abundant number, since it is smaller than the sum of its proper divisors (290881160).

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

213211000 is a wasteful number, since it uses less digits than its factorization.

213211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 213211000 is about 14601.7464708849. The cubic root of 213211000 is about 597.4063974566.

Adding to 213211000 its reverse (112312), we get a palindrome (213323312).

The spelling of 213211000 in words is "two hundred thirteen million, two hundred eleven thousand".