213585900 has 144 divisors (see below), whose sum is σ = 686206080. Its totient is φ = 50854400.

The previous prime is 213585893. The next prime is 213585913. The reversal of 213585900 is 9585312.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194152 + ... + 195248.

It is an arithmetic number, because the mean of its divisors is an integer number (4765320).

Almost surely, 2^213585900 is an apocalyptic number.

213585900 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 213585900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343103040).

213585900 is an abundant number, since it is smaller than the sum of its proper divisors (472620180).

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

213585900 is a wasteful number, since it uses less digits than its factorization.

213585900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 213585900 is about 14614.5783380842. The cubic root of 213585900 is about 597.7563426832.

The spelling of 213585900 in words is "two hundred thirteen million, five hundred eighty-five thousand, nine hundred".