9617985345 has 16 divisors (see below), whose sum is σ = 16198712640. Its totient is φ = 4859613504.

The previous prime is 9617985341. The next prime is 9617985367. The reversal of 9617985345 is 5435897169.

9617985345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9617985345 - 2² = 9617985341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (9617985341) 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 15 ways as a sum of consecutive naturals, for example, 16873374 + ... + 16873943.

It is an arithmetic number, because the mean of its divisors is an integer number (1012419540).

Almost surely, 2^9617985345 is an apocalyptic number.

9617985345 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

9617985345 is a deficient number, since it is larger than the sum of its proper divisors (6580727295).

9617985345 is a wasteful number, since it uses less digits than its factorization.

9617985345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33747344.

The product of its digits is 8164800, while the sum is 57.

The square root of 9617985345 is about 98071.3278435650. The cubic root of 9617985345 is about 2126.6435521111.

The spelling of 9617985345 in words is "nine billion, six hundred seventeen million, nine hundred eighty-five thousand, three hundred forty-five".