772172017 has 2 divisors, whose sum is σ = 772172018. Its totient is φ = 772172016.

The previous prime is 772171997. The next prime is 772172029. The reversal of 772172017 is 710271277.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 395850816 + 376321201 = 19896^2 + 19399^2 .

It is a cyclic number.

It is not a de Polignac number, because 772172017 - 2⁷ = 772171889 is a prime.

It is not a weakly prime, because it can be changed into another prime (772172057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 386086008 + 386086009.

It is an arithmetic number, because the mean of its divisors is an integer number (386086009).

Almost surely, 2^772172017 is an apocalyptic number.

It is an amenable number.

772172017 is a deficient number, since it is larger than the sum of its proper divisors (1).

772172017 is an equidigital number, since it uses as much as digits as its factorization.

772172017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9604, while the sum is 34.

The square root of 772172017 is about 27787.9833201332. The cubic root of 772172017 is about 917.4266528838.

The spelling of 772172017 in words is "seven hundred seventy-two million, one hundred seventy-two thousand, seventeen".