212000585 has 16 divisors (see below), whose sum is σ = 264243600. Its totient is φ = 163086336.

The previous prime is 212000567. The next prime is 212000603. The reversal of 212000585 is 585000212.

It is an interprime number because it is at equal distance from previous prime (212000567) and next prime (212000603).

It can be written as a sum of positive squares in 8 ways, for example, as 59428681 + 152571904 = 7709^2 + 12352^2 .

It is a cyclic number.

It is not a de Polignac number, because 212000585 - 2¹² = 211996489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212000585.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34421 + ... + 40109.

It is an arithmetic number, because the mean of its divisors is an integer number (16515225).

Almost surely, 2^212000585 is an apocalyptic number.

It is an amenable number.

212000585 is a deficient number, since it is larger than the sum of its proper divisors (52243015).

212000585 is a wasteful number, since it uses less digits than its factorization.

212000585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980.

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 212000585 is about 14560.2398675297. The cubic root of 212000585 is about 596.2737442327.

Adding to 212000585 its reverse (585000212), we get a palindrome (797000797).

The spelling of 212000585 in words is "two hundred twelve million, five hundred eighty-five", and thus it is an aban number.