213909504 has 92 divisors (see below), whose sum is σ = 603979704. Its totient is φ = 67108864.

The previous prime is 213909503. The next prime is 213909511. The reversal of 213909504 is 405909312.

213909504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is not an unprimeable number, because it can be changed into a prime (213909503) by changing a digit.

In principle, a polygon with 213909504 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12582904 + ... + 12582920.

Almost surely, 2^213909504 is an apocalyptic number.

213909504 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 213909504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301989852).

213909504 is an abundant number, since it is smaller than the sum of its proper divisors (390070200).

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

213909504 is an frugal number, since it uses more digits than its factorization.

213909504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 213909504 is about 14625.6454216558. The cubic root of 213909504 is about 598.0580772295.

The spelling of 213909504 in words is "two hundred thirteen million, nine hundred nine thousand, five hundred four".