772097 has 2 divisors, whose sum is σ = 772098. Its totient is φ = 772096.

The previous prime is 772091. The next prime is 772127. The reversal of 772097 is 790277.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 758641 + 13456 = 871^2 + 116^2 .

It is an emirp because it is prime and its reverse (790277) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 772097 - 2⁴ = 772081 is a prime.

It is a super-2 number, since 2×772097² = 1192267554818, which contains 22 as substring.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 772097.

It is not a weakly prime, because it can be changed into another prime (772091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 386048 + 386049.

It is an arithmetic number, because the mean of its divisors is an integer number (386049).

It is a Proth number, since it is equal to 377 ⋅ 2¹¹ + 1 and 377 < 2¹¹.

2⁷⁷²⁰⁹⁷ is an apocalyptic number.

It is an amenable number.

772097 is a deficient number, since it is larger than the sum of its proper divisors (1).

772097 is an equidigital number, since it uses as much as digits as its factorization.

772097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6174, while the sum is 32.

The square root of 772097 is about 878.6905029645. The cubic root of 772097 is about 91.7396942395.

The spelling of 772097 in words is "seven hundred seventy-two thousand, ninety-seven".