418085221 has 2 divisors, whose sum is σ = 418085222. Its totient is φ = 418085220.

The previous prime is 418085207. The next prime is 418085231. The reversal of 418085221 is 122580814.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 409617121 + 8468100 = 20239^2 + 2910^2 .

It is a cyclic number.

It is not a de Polignac number, because 418085221 - 2¹³ = 418077029 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (418085231) 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 as a sum of consecutive naturals, namely, 209042610 + 209042611.

It is an arithmetic number, because the mean of its divisors is an integer number (209042611).

Almost surely, 2^418085221 is an apocalyptic number.

It is an amenable number.

418085221 is a deficient number, since it is larger than the sum of its proper divisors (1).

418085221 is an equidigital number, since it uses as much as digits as its factorization.

418085221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 418085221 is about 20447.1323417246. The cubic root of 418085221 is about 747.7474464802.

It can be divided in two parts, 4180 and 85221, that added together give a square (89401 = 299²).

The spelling of 418085221 in words is "four hundred eighteen million, eighty-five thousand, two hundred twenty-one".