213813820 has 96 divisors (see below), whose sum is σ = 512096256. Its totient is φ = 74284800.

The previous prime is 213813799. The next prime is 213813827. The reversal of 213813820 is 28318312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213813827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729594 + ... + 729886.

It is an arithmetic number, because the mean of its divisors is an integer number (5334336).

Almost surely, 2^213813820 is an apocalyptic number.

213813820 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 213813820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256048128).

213813820 is an abundant number, since it is smaller than the sum of its proper divisors (298282436).

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

213813820 is a wasteful number, since it uses less digits than its factorization.

213813820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 213813820 is about 14622.3739522692. The cubic root of 213813820 is about 597.9688913471.

The spelling of 213813820 in words is "two hundred thirteen million, eight hundred thirteen thousand, eight hundred twenty".