213858216 has 96 divisors (see below), whose sum is σ = 680490720. Its totient is φ = 59817600.

The previous prime is 213858199. The next prime is 213858241. The reversal of 213858216 is 612858312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 90 + ... + 20681.

It is an arithmetic number, because the mean of its divisors is an integer number (7088445).

Almost surely, 2^213858216 is an apocalyptic number.

213858216 is a gapful number since it is divisible by the number (26) 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 213858216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340245360).

213858216 is an abundant number, since it is smaller than the sum of its proper divisors (466632504).

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

213858216 is a wasteful number, since it uses less digits than its factorization.

213858216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20807 (or 20800 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 213858216 is about 14623.8919580254. The cubic root of 213858216 is about 598.0102756220.

The spelling of 213858216 in words is "two hundred thirteen million, eight hundred fifty-eight thousand, two hundred sixteen".