2611117 has 2 divisors, whose sum is σ = 2611118. Its totient is φ = 2611116.

The previous prime is 2611111. The next prime is 2611123. The reversal of 2611117 is 7111162.

It is a balanced prime because it is at equal distance from previous prime (2611111) and next prime (2611123).

It can be written as a sum of positive squares in only one way, i.e., 2499561 + 111556 = 1581^2 + 334^2 .

It is a cyclic number.

It is not a de Polignac number, because 2611117 - 2⁷ = 2610989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2611094 and 2611103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2611111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1305558 + 1305559.

It is an arithmetic number, because the mean of its divisors is an integer number (1305559).

2^2611117 is an apocalyptic number.

It is an amenable number.

2611117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2611117 is an equidigital number, since it uses as much as digits as its factorization.

2611117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84, while the sum is 19.

The square root of 2611117 is about 1615.8951079820. The cubic root of 2611117 is about 137.7025906154.

Adding to 2611117 its reverse (7111162), we get a palindrome (9722279).

It can be divided in two parts, 261 and 1117, that added together give a triangular number (1378 = T₅₂).

The spelling of 2611117 in words is "two million, six hundred eleven thousand, one hundred seventeen".