10505777 has 2 divisors, whose sum is σ = 10505778. Its totient is φ = 10505776.

The previous prime is 10505767. The next prime is 10505791. The reversal of 10505777 is 77750501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5973136 + 4532641 = 2444^2 + 2129^2 .

It is an emirp because it is prime and its reverse (77750501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10505777 - 2¹⁴ = 10489393 is a prime.

It is a super-2 number, since 2×10505777² = 220742700747458, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10505707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5252888 + 5252889.

It is an arithmetic number, because the mean of its divisors is an integer number (5252889).

Almost surely, 2^10505777 is an apocalyptic number.

It is an amenable number.

10505777 is a deficient number, since it is larger than the sum of its proper divisors (1).

10505777 is an equidigital number, since it uses as much as digits as its factorization.

10505777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8575, while the sum is 32.

The square root of 10505777 is about 3241.2616370790. The cubic root of 10505777 is about 219.0161091269.

The spelling of 10505777 in words is "ten million, five hundred five thousand, seven hundred seventy-seven".