213321384 has 32 divisors (see below), whose sum is σ = 592560000. Its totient is φ = 71107056.

The previous prime is 213321349. The next prime is 213321413. The reversal of 213321384 is 483123312.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493584 + ... + 494015.

It is an arithmetic number, because the mean of its divisors is an integer number (18517500).

Almost surely, 2^213321384 is an apocalyptic number.

213321384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213321384 is an abundant number, since it is smaller than the sum of its proper divisors (379238616).

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

213321384 is a wasteful number, since it uses less digits than its factorization.

213321384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987614 (or 987604 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 213321384 is about 14605.5258036128. The cubic root of 213321384 is about 597.5094764578.

Adding to 213321384 its product of digits (3456), we get a triangular number (213324840 = T₂₀₆₅₅).

Adding to 213321384 its reverse (483123312), we get a palindrome (696444696).

The spelling of 213321384 in words is "two hundred thirteen million, three hundred twenty-one thousand, three hundred eighty-four".