9972823 has 12 divisors (see below), whose sum is σ = 12106800. Its totient is φ = 8175552.

The previous prime is 9972811. The next prime is 9972913. The reversal of 9972823 is 3282799.

It is not a de Polignac number, because 9972823 - 2¹³ = 9964631 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972803) 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 11 ways as a sum of consecutive naturals, for example, 3298 + ... + 5551.

It is an arithmetic number, because the mean of its divisors is an integer number (1008900).

Almost surely, 2^9972823 is an apocalyptic number.

9972823 is a deficient number, since it is larger than the sum of its proper divisors (2133977).

9972823 is a wasteful number, since it uses less digits than its factorization.

9972823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8886 (or 8879 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The square root of 9972823 is about 3157.9776756652. The cubic root of 9972823 is about 215.2481216925.

The spelling of 9972823 in words is "nine million, nine hundred seventy-two thousand, eight hundred twenty-three".