9965777 has 2 divisors, whose sum is σ = 9965778. Its totient is φ = 9965776.

The previous prime is 9965759. The next prime is 9965779. The reversal of 9965777 is 7775699.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7392961 + 2572816 = 2719^2 + 1604^2 .

It is a cyclic number.

It is not a de Polignac number, because 9965777 - 2⁶ = 9965713 is a prime.

It is a super-2 number, since 2×9965777² = 198633422427458, which contains 22 as substring.

Together with 9965779, 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 (9965779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4982888 + 4982889.

It is an arithmetic number, because the mean of its divisors is an integer number (4982889).

Almost surely, 2^9965777 is an apocalyptic number.

It is an amenable number.

9965777 is a deficient number, since it is larger than the sum of its proper divisors (1).

9965777 is an equidigital number, since it uses as much as digits as its factorization.

9965777 is an evil number, because the sum of its binary digits is even.

The product of its digits is 833490, while the sum is 50.

The square root of 9965777 is about 3156.8618911824. The cubic root of 9965777 is about 215.1974173739.

The spelling of 9965777 in words is "nine million, nine hundred sixty-five thousand, seven hundred seventy-seven".