9965257 has 2 divisors, whose sum is σ = 9965258. Its totient is φ = 9965256.

The previous prime is 9965239. The next prime is 9965273. The reversal of 9965257 is 7525699.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7311616 + 2653641 = 2704^2 + 1629^2 .

It is a cyclic number.

It is not a de Polignac number, because 9965257 - 2¹⁹ = 9440969 is a prime.

It is not a weakly prime, because it can be changed into another prime (9965227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4982628 + 4982629.

It is an arithmetic number, because the mean of its divisors is an integer number (4982629).

Almost surely, 2^9965257 is an apocalyptic number.

It is an amenable number.

9965257 is a deficient number, since it is larger than the sum of its proper divisors (1).

9965257 is an equidigital number, since it uses as much as digits as its factorization.

9965257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 170100, while the sum is 43.

The square root of 9965257 is about 3156.7795298373. The cubic root of 9965257 is about 215.1936744109.

It can be divided in two parts, 99 and 65257, that added together give a palindrome (65356).

The spelling of 9965257 in words is "nine million, nine hundred sixty-five thousand, two hundred fifty-seven".