213409585 has 8 divisors (see below), whose sum is σ = 271155816. Its totient is φ = 160684800.

The previous prime is 213409583. The next prime is 213409589. The reversal of 213409585 is 585904312.

It can be written as a sum of positive squares in 4 ways, for example, as 2927521 + 210482064 = 1711^2 + 14508^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 213409585 - 2¹ = 213409583 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213409583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1255266 + ... + 1255435.

It is an arithmetic number, because the mean of its divisors is an integer number (33894477).

Almost surely, 2^213409585 is an apocalyptic number.

It is an amenable number.

213409585 is a deficient number, since it is larger than the sum of its proper divisors (57746231).

213409585 is a wasteful number, since it uses less digits than its factorization.

213409585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510723.

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 213409585 is about 14608.5449309642. The cubic root of 213409585 is about 597.5918149318.

The spelling of 213409585 in words is "two hundred thirteen million, four hundred nine thousand, five hundred eighty-five".