2216761 has 2 divisors, whose sum is σ = 2216762. Its totient is φ = 2216760.

The previous prime is 2216759. The next prime is 2216777. The reversal of 2216761 is 1676122.

2216761 is digitally balanced in base 2, 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., 1254400 + 962361 = 1120^2 + 981^2 .

It is a cyclic number.

It is not a de Polignac number, because 2216761 - 2¹ = 2216759 is a prime.

It is a super-2 number, since 2×2216761² = 9828058662242, which contains 22 as substring.

Together with 2216759, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2216701) 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, 1108380 + 1108381.

It is an arithmetic number, because the mean of its divisors is an integer number (1108381).

2^2216761 is an apocalyptic number.

It is an amenable number.

2216761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2216761 is an equidigital number, since it uses as much as digits as its factorization.

2216761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 25.

The square root of 2216761 is about 1488.8791085914. The cubic root of 2216761 is about 130.3886005379.

The spelling of 2216761 in words is "two million, two hundred sixteen thousand, seven hundred sixty-one".