2227361 has 2 divisors, whose sum is σ = 2227362. Its totient is φ = 2227360.

The previous prime is 2227339. The next prime is 2227367. The reversal of 2227361 is 1637222.

2227361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1918225 + 309136 = 1385^2 + 556^2 .

It is a cyclic number.

It is not a de Polignac number, because 2227361 - 2¹⁴ = 2210977 is a prime.

It is a super-2 number, since 2×2227361² = 9922274048642, which contains 22 as substring.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (2227367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1113680 + 1113681.

It is an arithmetic number, because the mean of its divisors is an integer number (1113681).

2^2227361 is an apocalyptic number.

It is an amenable number.

2227361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2227361 is an equidigital number, since it uses as much as digits as its factorization.

2227361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 23.

The square root of 2227361 is about 1492.4345881813. The cubic root of 2227361 is about 130.5960987776.

The spelling of 2227361 in words is "two million, two hundred twenty-seven thousand, three hundred sixty-one".