772588097 has 2 divisors, whose sum is σ = 772588098. Its totient is φ = 772588096.

The previous prime is 772588081. The next prime is 772588109. The reversal of 772588097 is 790885277.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 487349776 + 285238321 = 22076^2 + 16889^2 .

It is a cyclic number.

It is not a de Polignac number, because 772588097 - 2⁴ = 772588081 is a prime.

It is not a weakly prime, because it can be changed into another prime (772588007) 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, 386294048 + 386294049.

It is an arithmetic number, because the mean of its divisors is an integer number (386294049).

Almost surely, 2^772588097 is an apocalyptic number.

It is an amenable number.

772588097 is a deficient number, since it is larger than the sum of its proper divisors (1).

772588097 is an equidigital number, since it uses as much as digits as its factorization.

772588097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1975680, while the sum is 53.

The square root of 772588097 is about 27795.4690012599. The cubic root of 772588097 is about 917.5914064753.

The spelling of 772588097 in words is "seven hundred seventy-two million, five hundred eighty-eight thousand, ninety-seven".