213978384 has 135 divisors (see below), whose sum is σ = 638045317. Its totient is φ = 66937728.

The previous prime is 213978341. The next prime is 213978389. The reversal of 213978384 is 483879312.

The square root of 213978384 is 14628.

It is a perfect power (a square), and thus also a powerful number.

213978384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 154256400 + 59721984 = 12420^2 + 7728^2 .

It is a Duffinian number.

Its product of digits (290304) is a multiple of the sum of its prime divisors (81).

It is not an unprimeable number, because it can be changed into a prime (213978389) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4037302 + ... + 4037354.

Almost surely, 2^213978384 is an apocalyptic number.

213978384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

213978384 is the 14628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213978384

213978384 is an abundant number, since it is smaller than the sum of its proper divisors (424066933).

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

213978384 is a wasteful number, since it uses less digits than its factorization.

213978384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 81 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The cubic root of 213978384 is about 598.1222629697.

The spelling of 213978384 in words is "two hundred thirteen million, nine hundred seventy-eight thousand, three hundred eighty-four".