772225193 has 2 divisors, whose sum is σ = 772225194. Its totient is φ = 772225192.

The previous prime is 772225177. The next prime is 772225273. The reversal of 772225193 is 391522277.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 711182224 + 61042969 = 26668^2 + 7813^2 .

It is an emirp because it is prime and its reverse (391522277) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 772225193 - 2⁴ = 772225177 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (772222193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 386112596 + 386112597.

It is an arithmetic number, because the mean of its divisors is an integer number (386112597).

Almost surely, 2^772225193 is an apocalyptic number.

It is an amenable number.

772225193 is a deficient number, since it is larger than the sum of its proper divisors (1).

772225193 is an equidigital number, since it uses as much as digits as its factorization.

772225193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 52920, while the sum is 38.

The square root of 772225193 is about 27788.9401201269. The cubic root of 772225193 is about 917.4477120773.

The spelling of 772225193 in words is "seven hundred seventy-two million, two hundred twenty-five thousand, one hundred ninety-three".