9965972793 has 16 divisors (see below), whose sum is σ = 15203588480. Its totient is φ = 5688337536.

The previous prime is 9965972791. The next prime is 9965972813. The reversal of 9965972793 is 3972795699.

It is a happy number.

It is not a de Polignac number, because 9965972793 - 2¹ = 9965972791 is a prime.

It is a super-2 number, since 2×9965972793² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9965972791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252148 + ... + 288981.

It is an arithmetic number, because the mean of its divisors is an integer number (950224280).

Almost surely, 2^9965972793 is an apocalyptic number.

It is an amenable number.

9965972793 is a deficient number, since it is larger than the sum of its proper divisors (5237615687).

9965972793 is a wasteful number, since it uses less digits than its factorization.

9965972793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542016.

The product of its digits is 57868020, while the sum is 66.

The square root of 9965972793 is about 99829.7189868829. The cubic root of 9965972793 is about 2151.9882665927.

The spelling of 9965972793 in words is "nine billion, nine hundred sixty-five million, nine hundred seventy-two thousand, seven hundred ninety-three".