2765117 has 2 divisors, whose sum is σ = 2765118. Its totient is φ = 2765116.

The previous prime is 2765099. The next prime is 2765123. The reversal of 2765117 is 7115672.

2765117 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., 1792921 + 972196 = 1339^2 + 986^2 .

It is a cyclic number.

It is not a de Polignac number, because 2765117 - 2⁶ = 2765053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2765117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2765177) 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, 1382558 + 1382559.

It is an arithmetic number, because the mean of its divisors is an integer number (1382559).

2^2765117 is an apocalyptic number.

It is an amenable number.

2765117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2765117 is an equidigital number, since it uses as much as digits as its factorization.

2765117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2940, while the sum is 29.

The square root of 2765117 is about 1662.8640954690. The cubic root of 2765117 is about 140.3582153127.

It can be divided in two parts, 2765 and 117, that added together give a palindrome (2882).

The spelling of 2765117 in words is "two million, seven hundred sixty-five thousand, one hundred seventeen".