213000004 has 48 divisors (see below), whose sum is σ = 459623808. Its totient is φ = 84284928.

The previous prime is 213000001. The next prime is 213000017. The reversal of 213000004 is 400000312.

It is not an unprimeable number, because it can be changed into a prime (213000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21007 + ... + 29449.

It is an arithmetic number, because the mean of its divisors is an integer number (9575496).

Almost surely, 2^213000004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213000004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229811904).

213000004 is an abundant number, since it is smaller than the sum of its proper divisors (246623804).

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

213000004 is a wasteful number, since it uses less digits than its factorization.

213000004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8524 (or 8522 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 213000004 is about 14594.5196563642. The cubic root of 213000004 is about 597.2092657210.

Adding to 213000004 its reverse (400000312), we get a palindrome (613000316).

It can be divided in two parts, 21 and 3000004, that added together give a triangular number (3000025 = T₂₄₄₉).

The spelling of 213000004 in words is "two hundred thirteen million, four", and thus it is an aban number.