9965376 has 112 divisors (see below), whose sum is σ = 30073600. Its totient is φ = 3234816.

The previous prime is 9965369. The next prime is 9965377. The reversal of 9965376 is 6735699.

It is an Ulam number.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9965377) 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, 126105 + ... + 126183.

Almost surely, 2^9965376 is an apocalyptic number.

9965376 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9965376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036800).

9965376 is an abundant number, since it is smaller than the sum of its proper divisors (20108224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9965376 is a wasteful number, since it uses less digits than its factorization.

9965376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 9965376 is about 3156.7983781040. The cubic root of 9965376 is about 215.1945309851.

The spelling of 9965376 in words is "nine million, nine hundred sixty-five thousand, three hundred seventy-six".