13766761 has 2 divisors, whose sum is σ = 13766762. Its totient is φ = 13766760.

The previous prime is 13766749. The next prime is 13766771. The reversal of 13766761 is 16766731.

13766761 is digitally balanced in base 3, 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., 13213225 + 553536 = 3635^2 + 744^2 .

It is a cyclic number.

It is not a de Polignac number, because 13766761 - 2⁵ = 13766729 is a prime.

It is a super-2 number, since 2×13766761² = 379047416862242, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13766761.

It is not a weakly prime, because it can be changed into another prime (13766741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6883380 + 6883381.

It is an arithmetic number, because the mean of its divisors is an integer number (6883381).

Almost surely, 2^13766761 is an apocalyptic number.

It is an amenable number.

13766761 is a deficient number, since it is larger than the sum of its proper divisors (1).

13766761 is an equidigital number, since it uses as much as digits as its factorization.

13766761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31752, while the sum is 37.

The square root of 13766761 is about 3710.3586080054. The cubic root of 13766761 is about 239.6682975544.

The spelling of 13766761 in words is "thirteen million, seven hundred sixty-six thousand, seven hundred sixty-one".