9965997 has 20 divisors (see below), whose sum is σ = 15139036. Its totient is φ = 6531840.

The previous prime is 9965959. The next prime is 9966001. The reversal of 9965997 is 7995699.

It can be written as a sum of positive squares in 2 ways, for example, as 3884841 + 6081156 = 1971^2 + 2466^2 .

It is not a de Polignac number, because 9965997 - 2⁷ = 9965869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9965947) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3933 + ... + 5949.

Almost surely, 2^9965997 is an apocalyptic number.

It is an amenable number.

9965997 is a deficient number, since it is larger than the sum of its proper divisors (5173039).

9965997 is a wasteful number, since it uses less digits than its factorization.

9965997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2081 counting only the distinct ones).

The product of its digits is 1377810, while the sum is 54.

The square root of 9965997 is about 3156.8967357201. The cubic root of 9965997 is about 215.1990008959.

The spelling of 9965997 in words is "nine million, nine hundred sixty-five thousand, nine hundred ninety-seven".