213584967 has 12 divisors (see below), whose sum is σ = 315076320. Its totient is φ = 139360128.

The previous prime is 213584951. The next prime is 213584977. The reversal of 213584967 is 769485312.

213584967 is a `hidden beast` number, since 2 + 1 + 3 + 584 + 9 + 67 = 666.

213584967 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 213584967 - 2⁴ = 213584951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213584977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252042 + ... + 252887.

It is an arithmetic number, because the mean of its divisors is an integer number (26256360).

Almost surely, 2^213584967 is an apocalyptic number.

213584967 is a deficient number, since it is larger than the sum of its proper divisors (101491353).

213584967 is a wasteful number, since it uses less digits than its factorization.

213584967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504982 (or 504979 counting only the distinct ones).

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

The square root of 213584967 is about 14614.5464178674. The cubic root of 213584967 is about 597.7554722957.

The spelling of 213584967 in words is "two hundred thirteen million, five hundred eighty-four thousand, nine hundred sixty-seven".