9997105 has 16 divisors (see below), whose sum is σ = 12776400. Its totient is φ = 7483392.

The previous prime is 9997093. The next prime is 9997109. The reversal of 9997105 is 5017999.

It can be written as a sum of positive squares in 8 ways, for example, as 62001 + 9935104 = 249^2 + 3152^2 .

It is a cyclic number.

It is not a de Polignac number, because 9997105 - 2⁹ = 9996593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9997109) 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, 28471 + ... + 28819.

It is an arithmetic number, because the mean of its divisors is an integer number (798525).

Almost surely, 2^9997105 is an apocalyptic number.

It is an amenable number.

9997105 is a deficient number, since it is larger than the sum of its proper divisors (2779295).

9997105 is a wasteful number, since it uses less digits than its factorization.

9997105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708.

The product of its (nonzero) digits is 25515, while the sum is 40.

The square root of 9997105 is about 3161.8198873434. The cubic root of 9997105 is about 215.4226767018.

The spelling of 9997105 in words is "nine million, nine hundred ninety-seven thousand, one hundred five".