9972963 has 96 divisors (see below), whose sum is σ = 20547072. Its totient is φ = 4665600.

The previous prime is 9972913. The next prime is 9972973. The reversal of 9972963 is 3692799.

It is a Cunningham number, because it is equal to 3158²-1.

It is not a de Polignac number, because 9972963 - 2⁹ = 9972451 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9972913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 243223 + ... + 243263.

It is an arithmetic number, because the mean of its divisors is an integer number (214032).

Almost surely, 2^9972963 is an apocalyptic number.

9972963 is an abundant number, since it is smaller than the sum of its proper divisors (10574109).

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

9972963 is a wasteful number, since it uses less digits than its factorization.

9972963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 75 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 9972963 is about 3157.9998416719. Note that the first 3 decimals coincide. The cubic root of 9972963 is about 215.2491289163.

The spelling of 9972963 in words is "nine million, nine hundred seventy-two thousand, nine hundred sixty-three".