2261111 has 2 divisors, whose sum is σ = 2261112. Its totient is φ = 2261110.

The previous prime is 2261099. The next prime is 2261117. The reversal of 2261111 is 1111622.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2261111 - 2¹⁰ = 2260087 is a prime.

It is a super-2 number, since 2×2261111² = 10225245908642, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

2261111 is a modest number, since divided by 1111 gives 226 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2261117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1130555 + 1130556.

It is an arithmetic number, because the mean of its divisors is an integer number (1130556).

2^2261111 is an apocalyptic number.

2261111 is a deficient number, since it is larger than the sum of its proper divisors (1).

2261111 is an equidigital number, since it uses as much as digits as its factorization.

2261111 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24, while the sum is 14.

The square root of 2261111 is about 1503.6991055394. The cubic root of 2261111 is about 131.2524123517.

Adding to 2261111 its reverse (1111622), we get a palindrome (3372733).

It can be divided in two parts, 22611 and 11, that added together give a palindrome (22622).

The spelling of 2261111 in words is "two million, two hundred sixty-one thousand, one hundred eleven".