772949953 has 2 divisors, whose sum is σ = 772949954. Its totient is φ = 772949952.

The previous prime is 772949951. The next prime is 772949977. The reversal of 772949953 is 359949277.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 718883344 + 54066609 = 26812^2 + 7353^2 .

It is a cyclic number.

It is not a de Polignac number, because 772949953 - 2¹ = 772949951 is a prime.

Together with 772949951, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 772949894 and 772949903.

It is not a weakly prime, because it can be changed into another prime (772949951) 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, 386474976 + 386474977.

It is an arithmetic number, because the mean of its divisors is an integer number (386474977).

Almost surely, 2^772949953 is an apocalyptic number.

It is an amenable number.

772949953 is a deficient number, since it is larger than the sum of its proper divisors (1).

772949953 is an equidigital number, since it uses as much as digits as its factorization.

772949953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4286520, while the sum is 55.

The square root of 772949953 is about 27801.9775016095. The cubic root of 772949953 is about 917.7346411142.

The spelling of 772949953 in words is "seven hundred seventy-two million, nine hundred forty-nine thousand, nine hundred fifty-three".