9972959 has 4 divisors (see below), whose sum is σ = 9981840. Its totient is φ = 9964080.

The previous prime is 9972913. The next prime is 9972973. The reversal of 9972959 is 9592799.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 9592799 = 61 ⋅157259.

It is a cyclic number.

It is not a de Polignac number, because 9972959 - 2¹⁶ = 9907423 is a prime.

It is a super-2 number, since 2×9972959² = 198919822431362, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2462 + ... + 5099.

It is an arithmetic number, because the mean of its divisors is an integer number (2495460).

Almost surely, 2^9972959 is an apocalyptic number.

9972959 is a deficient number, since it is larger than the sum of its proper divisors (8881).

9972959 is a wasteful number, since it uses less digits than its factorization.

9972959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880.

The product of its digits is 459270, while the sum is 50.

The square root of 9972959 is about 3157.9992083596. Note that the first 3 decimals coincide. The cubic root of 9972959 is about 215.2491001386.

The spelling of 9972959 in words is "nine million, nine hundred seventy-two thousand, nine hundred fifty-nine".