9965415 has 32 divisors (see below), whose sum is σ = 17049600. Its totient is φ = 4959360.

The previous prime is 9965413. The next prime is 9965447. The reversal of 9965415 is 5145699.

9965415 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9965415 - 2¹ = 9965413 is a prime.

It is a super-2 number, since 2×9965415² = 198618992244450, which contains 22 as substring.

9965415 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9965411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13116 + ... + 13854.

It is an arithmetic number, because the mean of its divisors is an integer number (532800).

Almost surely, 2^9965415 is an apocalyptic number.

9965415 is a deficient number, since it is larger than the sum of its proper divisors (7084185).

9965415 is a wasteful number, since it uses less digits than its factorization.

9965415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807.

The product of its digits is 48600, while the sum is 39.

The square root of 9965415 is about 3156.8045552425. The cubic root of 9965415 is about 215.1948117096.

The spelling of 9965415 in words is "nine million, nine hundred sixty-five thousand, four hundred fifteen".