9965727 has 16 divisors (see below), whose sum is σ = 14945280. Its totient is φ = 6562296.

The previous prime is 9965717. The next prime is 9965729. The reversal of 9965727 is 7275699.

It is not a de Polignac number, because 9965727 - 2¹² = 9961631 is a prime.

It is a super-4 number, since 4×9965727⁴ (a number of 29 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9965729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18 + ... + 4464.

It is an arithmetic number, because the mean of its divisors is an integer number (934080).

Almost surely, 2^9965727 is an apocalyptic number.

9965727 is a deficient number, since it is larger than the sum of its proper divisors (4979553).

9965727 is a wasteful number, since it uses less digits than its factorization.

9965727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539 (or 4533 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 9965727 is about 3156.8539719157. The cubic root of 9965727 is about 215.1970574792.

The spelling of 9965727 in words is "nine million, nine hundred sixty-five thousand, seven hundred twenty-seven".