212584121 has 2 divisors, whose sum is σ = 212584122. Its totient is φ = 212584120.

The previous prime is 212584091. The next prime is 212584187. The reversal of 212584121 is 121485212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209815225 + 2768896 = 14485^2 + 1664^2 .

It is a cyclic number.

It is not a de Polignac number, because 212584121 - 2¹⁰ = 212583097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (212514121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106292060 + 106292061.

It is an arithmetic number, because the mean of its divisors is an integer number (106292061).

Almost surely, 2^212584121 is an apocalyptic number.

It is an amenable number.

212584121 is a deficient number, since it is larger than the sum of its proper divisors (1).

212584121 is an equidigital number, since it uses as much as digits as its factorization.

212584121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1280, while the sum is 26.

The square root of 212584121 is about 14580.2647781170. The cubic root of 212584121 is about 596.8203283203.

The spelling of 212584121 in words is "two hundred twelve million, five hundred eighty-four thousand, one hundred twenty-one".