213384384 has 84 divisors (see below), whose sum is σ = 616655104. Its totient is φ = 70543872.

The previous prime is 213384359. The next prime is 213384403. The reversal of 213384384 is 483483312.

It is a happy number.

213384384 is a `hidden beast` number, since 213 + 3 + 8 + 438 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71694 + ... + 74610.

Almost surely, 2^213384384 is an apocalyptic number.

213384384 is a gapful number since it is divisible by the number (24) 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 213384384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308327552).

213384384 is an abundant number, since it is smaller than the sum of its proper divisors (403270720).

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

213384384 is a wasteful number, since it uses less digits than its factorization.

213384384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3049 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 213384384 is about 14607.6823623736. The cubic root of 213384384 is about 597.5682913021.

The spelling of 213384384 in words is "two hundred thirteen million, three hundred eighty-four thousand, three hundred eighty-four".