213314304 has 72 divisors (see below), whose sum is σ = 648847360. Its totient is φ = 60945408.

The previous prime is 213314293. The next prime is 213314329. The reversal of 213314304 is 403413312.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 14464 + ... + 25215.

Almost surely, 2^213314304 is an apocalyptic number.

213314304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213314304 is an abundant number, since it is smaller than the sum of its proper divisors (435533056).

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

213314304 is an equidigital number, since it uses as much as digits as its factorization.

213314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39705 (or 39691 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 213314304 is about 14605.2834275820. The cubic root of 213314304 is about 597.5028660659.

Adding to 213314304 its reverse (403413312), we get a palindrome (616727616).

The spelling of 213314304 in words is "two hundred thirteen million, three hundred fourteen thousand, three hundred four".