4077221 has 2 divisors, whose sum is σ = 4077222. Its totient is φ = 4077220.

The previous prime is 4077211. The next prime is 4077223. The reversal of 4077221 is 1227704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4056196 + 21025 = 2014^2 + 145^2 .

It is a cyclic number.

It is not a de Polignac number, because 4077221 - 2¹⁰ = 4076197 is a prime.

It is a super-3 number, since 3×4077221³ (a number of 21 digits) contains 333 as substring.

Together with 4077223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4077223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2038610 + 2038611.

It is an arithmetic number, because the mean of its divisors is an integer number (2038611).

Almost surely, 2^4077221 is an apocalyptic number.

It is an amenable number.

4077221 is a deficient number, since it is larger than the sum of its proper divisors (1).

4077221 is an equidigital number, since it uses as much as digits as its factorization.

4077221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 4077221 is about 2019.2129654893. The cubic root of 4077221 is about 159.7551071338.

The spelling of 4077221 in words is "four million, seventy-seven thousand, two hundred twenty-one".