4205957221 has 2 divisors, whose sum is σ = 4205957222. Its totient is φ = 4205957220.

The previous prime is 4205957183. The next prime is 4205957299. The reversal of 4205957221 is 1227595024.

4205957221 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3707104996 + 498852225 = 60886^2 + 22335^2 .

It is a cyclic number.

It is not a de Polignac number, because 4205957221 - 2²⁷ = 4071739493 is a prime.

It is a super-2 number, since 2×4205957221² = 35380152289764085682, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4205957321) 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, 2102978610 + 2102978611.

It is an arithmetic number, because the mean of its divisors is an integer number (2102978611).

Almost surely, 2^4205957221 is an apocalyptic number.

It is an amenable number.

4205957221 is a deficient number, since it is larger than the sum of its proper divisors (1).

4205957221 is an equidigital number, since it uses as much as digits as its factorization.

4205957221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 4205957221 is about 64853.3516558705. The cubic root of 4205957221 is about 1614.1911071589.

The spelling of 4205957221 in words is "four billion, two hundred five million, nine hundred fifty-seven thousand, two hundred twenty-one".