212584047 has 16 divisors (see below), whose sum is σ = 306539520. Its totient is φ = 130267872.

The previous prime is 212584039. The next prime is 212584091. The reversal of 212584047 is 740485212.

It is not a de Polignac number, because 212584047 - 2³ = 212584039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212583999 and 212584017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212584037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2083 + ... + 20724.

It is an arithmetic number, because the mean of its divisors is an integer number (19158720).

Almost surely, 2^212584047 is an apocalyptic number.

212584047 is a deficient number, since it is larger than the sum of its proper divisors (93955473).

212584047 is a wasteful number, since it uses less digits than its factorization.

212584047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23062.

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 212584047 is about 14580.2622404400. The cubic root of 212584047 is about 596.8202590697.

The spelling of 212584047 in words is "two hundred twelve million, five hundred eighty-four thousand, forty-seven".