9968315 has 48 divisors (see below), whose sum is σ = 15266880. Its totient is φ = 6209280.

The previous prime is 9968297. The next prime is 9968317. The reversal of 9968315 is 5138699.

9968315 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9968315 - 2¹⁸ = 9706171 is a prime.

It is an Ulam number.

9968315 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (9968317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163385 + ... + 163445.

It is an arithmetic number, because the mean of its divisors is an integer number (318060).

Almost surely, 2^9968315 is an apocalyptic number.

9968315 is a deficient number, since it is larger than the sum of its proper divisors (5298565).

9968315 is a wasteful number, since it uses less digits than its factorization.

9968315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its digits is 58320, while the sum is 41.

The square root of 9968315 is about 3157.2638470676. The cubic root of 9968315 is about 215.2156840441.

The spelling of 9968315 in words is "nine million, nine hundred sixty-eight thousand, three hundred fifteen".