213584769 has 20 divisors (see below), whose sum is σ = 320862960. Its totient is φ = 141584760.

The previous prime is 213584743. The next prime is 213584771. The reversal of 213584769 is 967485312.

213584769 is a `hidden beast` number, since 2 + 1 + 3 + 584 + 7 + 69 = 666.

It is not a de Polignac number, because 213584769 - 2¹⁷ = 213453697 is a prime.

It is a super-2 number, since 2×213584769² = 91236907097566722, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (213584669) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 7134 + ... + 21864.

It is an arithmetic number, because the mean of its divisors is an integer number (16043148).

Almost surely, 2^213584769 is an apocalyptic number.

It is an amenable number.

213584769 is a deficient number, since it is larger than the sum of its proper divisors (107278191).

213584769 is a wasteful number, since it uses less digits than its factorization.

213584769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14922 (or 14913 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 213584769 is about 14614.5396437931. The cubic root of 213584769 is about 597.7552875830.

The spelling of 213584769 in words is "two hundred thirteen million, five hundred eighty-four thousand, seven hundred sixty-nine".