9967948 has 24 divisors (see below), whose sum is σ = 18309312. Its totient is φ = 4742784.

The previous prime is 9967891. The next prime is 9967987. The reversal of 9967948 is 8497699.

It is a junction number, because it is equal to n+sod(n) for n = 9967895 and 9967904.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6240 + ... + 7672.

It is an arithmetic number, because the mean of its divisors is an integer number (762888).

Almost surely, 2^9967948 is an apocalyptic number.

It is an amenable number.

9967948 is a deficient number, since it is larger than the sum of its proper divisors (8341364).

9967948 is a wasteful number, since it uses less digits than its factorization.

9967948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1519 counting only the distinct ones).

The product of its digits is 979776, while the sum is 52.

The square root of 9967948 is about 3157.2057265880. The cubic root of 9967948 is about 215.2130428380.

The spelling of 9967948 in words is "nine million, nine hundred sixty-seven thousand, nine hundred forty-eight".