2277641 has 2 divisors, whose sum is σ = 2277642. Its totient is φ = 2277640.

The previous prime is 2277637. The next prime is 2277647. The reversal of 2277641 is 1467722.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2262016 + 15625 = 1504^2 + 125^2 .

It is a cyclic number.

It is not a de Polignac number, because 2277641 - 2² = 2277637 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 2¹⁷ + 2²¹ + 7³ + 7⁴ + 6⁶ + 4² + 1 .

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2277647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1138820 + 1138821.

It is an arithmetic number, because the mean of its divisors is an integer number (1138821).

2^2277641 is an apocalyptic number.

It is an amenable number.

2277641 is a deficient number, since it is larger than the sum of its proper divisors (1).

2277641 is an equidigital number, since it uses as much as digits as its factorization.

2277641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4704, while the sum is 29.

The square root of 2277641 is about 1509.1855419398. The cubic root of 2277641 is about 131.5714792084.

The spelling of 2277641 in words is "two million, two hundred seventy-seven thousand, six hundred forty-one".