213200409 has 16 divisors (see below), whose sum is σ = 297880704. Its totient is φ = 135379200.

The previous prime is 213200399. The next prime is 213200411. The reversal of 213200409 is 904002312.

213200409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213200409 - 2²⁷ = 78982681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213200809) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10219 + ... + 23039.

It is an arithmetic number, because the mean of its divisors is an integer number (18617544).

Almost surely, 2^213200409 is an apocalyptic number.

It is an amenable number.

213200409 is a deficient number, since it is larger than the sum of its proper divisors (84680295).

213200409 is a wasteful number, since it uses less digits than its factorization.

213200409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13088.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 213200409 is about 14601.3838042838. The cubic root of 213200409 is about 597.3965054780.

The spelling of 213200409 in words is "two hundred thirteen million, two hundred thousand, four hundred nine".