772735961 has 2 divisors, whose sum is σ = 772735962. Its totient is φ = 772735960.

The previous prime is 772735939. The next prime is 772735963. The reversal of 772735961 is 169537277.

772735961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 528126361 + 244609600 = 22981^2 + 15640^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-772735961 is a prime.

Together with 772735963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (772735963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 386367980 + 386367981.

It is an arithmetic number, because the mean of its divisors is an integer number (386367981).

Almost surely, 2^772735961 is an apocalyptic number.

It is an amenable number.

772735961 is a deficient number, since it is larger than the sum of its proper divisors (1).

772735961 is an equidigital number, since it uses as much as digits as its factorization.

772735961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 555660, while the sum is 47.

The square root of 772735961 is about 27798.1287319848. The cubic root of 772735961 is about 917.6499413667.

The spelling of 772735961 in words is "seven hundred seventy-two million, seven hundred thirty-five thousand, nine hundred sixty-one".