10772767 has 2 divisors, whose sum is σ = 10772768. Its totient is φ = 10772766.

The previous prime is 10772737. The next prime is 10772771. The reversal of 10772767 is 76727701.

10772767 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 is a cyclic number.

It is not a de Polignac number, because 10772767 - 2¹⁵ = 10739999 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10772737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5386383 + 5386384.

It is an arithmetic number, because the mean of its divisors is an integer number (5386384).

Almost surely, 2^10772767 is an apocalyptic number.

10772767 is a deficient number, since it is larger than the sum of its proper divisors (1).

10772767 is an equidigital number, since it uses as much as digits as its factorization.

10772767 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28812, while the sum is 37.

The square root of 10772767 is about 3282.1893607773. The cubic root of 10772767 is about 220.8559423709.

It can be divided in two parts, 1077 and 2767, that added together give a square (3844 = 62²).

The spelling of 10772767 in words is "ten million, seven hundred seventy-two thousand, seven hundred sixty-seven".