9917958193 has 32 divisors (see below), whose sum is σ = 11906076672. Its totient is φ = 8143027200.

The previous prime is 9917958139. The next prime is 9917958229. The reversal of 9917958193 is 3918597199.

It is not a de Polignac number, because 9917958193 - 2¹⁷ = 9917827121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9917958793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1322013 + ... + 1329493.

It is an arithmetic number, because the mean of its divisors is an integer number (372064896).

Almost surely, 2^9917958193 is an apocalyptic number.

It is an amenable number.

9917958193 is a deficient number, since it is larger than the sum of its proper divisors (1988118479).

9917958193 is a wasteful number, since it uses less digits than its factorization.

9917958193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7705.

The product of its digits is 5511240, while the sum is 61.

The square root of 9917958193 is about 99588.9461386152. The cubic root of 9917958193 is about 2148.5267132502.

The spelling of 9917958193 in words is "nine billion, nine hundred seventeen million, nine hundred fifty-eight thousand, one hundred ninety-three".