10877761 has 2 divisors, whose sum is σ = 10877762. Its totient is φ = 10877760.

The previous prime is 10877759. The next prime is 10877767. The reversal of 10877761 is 16777801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10857025 + 20736 = 3295^2 + 144^2 .

It is a cyclic number.

It is not a de Polignac number, because 10877761 - 2¹ = 10877759 is a prime.

Together with 10877759, it forms a pair of twin primes.

It is equal to p₇₁₈₉₆₆ and since 10877761 and 718966 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10877761.

It is not a weakly prime, because it can be changed into another prime (10877767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5438880 + 5438881.

It is an arithmetic number, because the mean of its divisors is an integer number (5438881).

Almost surely, 2^10877761 is an apocalyptic number.

It is an amenable number.

10877761 is a deficient number, since it is larger than the sum of its proper divisors (1).

10877761 is an equidigital number, since it uses as much as digits as its factorization.

10877761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16464, while the sum is 37.

The square root of 10877761 is about 3298.1450847408. The cubic root of 10877761 is about 221.5711291112.

The spelling of 10877761 in words is "ten million, eight hundred seventy-seven thousand, seven hundred sixty-one".