13166761 has 2 divisors, whose sum is σ = 13166762. Its totient is φ = 13166760.

The previous prime is 13166759. The next prime is 13166771. The reversal of 13166761 is 16766131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8410000 + 4756761 = 2900^2 + 2181^2 .

It is a cyclic number.

It is not a de Polignac number, because 13166761 - 2¹ = 13166759 is a prime.

It is a super-2 number, since 2×13166761² = 346727190462242, which contains 22 as substring.

Together with 13166759, it forms a pair of twin primes.

It is equal to p₈₅₉₃₄₂ and since 13166761 and 859342 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (13166701) 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, 6583380 + 6583381.

It is an arithmetic number, because the mean of its divisors is an integer number (6583381).

Almost surely, 2^13166761 is an apocalyptic number.

It is an amenable number.

13166761 is a deficient number, since it is larger than the sum of its proper divisors (1).

13166761 is an equidigital number, since it uses as much as digits as its factorization.

13166761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 31.

The square root of 13166761 is about 3628.6031747768. The cubic root of 13166761 is about 236.1346127082.

The spelling of 13166761 in words is "thirteen million, one hundred sixty-six thousand, seven hundred sixty-one".