9742806313 has 8 divisors (see below), whose sum is σ = 9984226208. Its totient is φ = 9502061184.

The previous prime is 9742806259. The next prime is 9742806319. The reversal of 9742806313 is 3136082479.

9742806313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9742806313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9742806313.

It is not an unprimeable number, because it can be changed into a prime (9742806319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139395 + ... + 197272.

It is an arithmetic number, because the mean of its divisors is an integer number (1248028276).

Almost surely, 2^9742806313 is an apocalyptic number.

It is an amenable number.

9742806313 is a deficient number, since it is larger than the sum of its proper divisors (241419895).

9742806313 is a wasteful number, since it uses less digits than its factorization.

9742806313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337383.

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 9742806313 is about 98705.6549190572. The cubic root of 9742806313 is about 2135.8038069771.

The spelling of 9742806313 in words is "nine billion, seven hundred forty-two million, eight hundred six thousand, three hundred thirteen".