2735114761 has 2 divisors, whose sum is σ = 2735114762. Its totient is φ = 2735114760.

The previous prime is 2735114749. The next prime is 2735114773. The reversal of 2735114761 is 1674115372.

2735114761 = 36980² + 36981².

It is a balanced prime because it is at equal distance from previous prime (2735114749) and next prime (2735114773).

It can be written as a sum of positive squares in only one way, i.e., 1367594361 + 1367520400 = 36981^2 + 36980^2 .

It is a cyclic number.

It is not a de Polignac number, because 2735114761 - 2¹⁷ = 2734983689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2735114761.

It is not a weakly prime, because it can be changed into another prime (2735114791) 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, 1367557380 + 1367557381.

It is an arithmetic number, because the mean of its divisors is an integer number (1367557381).

Almost surely, 2^2735114761 is an apocalyptic number.

2735114761 is the 36981-st centered square number.

It is an amenable number.

2735114761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2735114761 is an equidigital number, since it uses as much as digits as its factorization.

2735114761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35280, while the sum is 37.

The square root of 2735114761 is about 52298.3246481185. The cubic root of 2735114761 is about 1398.4872709856.

The spelling of 2735114761 in words is "two billion, seven hundred thirty-five million, one hundred fourteen thousand, seven hundred sixty-one".