997165 has 24 divisors (see below), whose sum is σ = 1393560. Its totient is φ = 680064.

The previous prime is 997163. The next prime is 997201. The reversal of 997165 is 561799.

997165 = 30² + 31² + ... + 144².

It can be written as a sum of positive squares in 4 ways, for example, as 19044 + 978121 = 138^2 + 989^2 .

It is not a de Polignac number, because 997165 - 2¹ = 997163 is a prime.

Its product of digits (17010) is a multiple of the sum of its prime divisors (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34371 + ... + 34399.

It is an arithmetic number, because the mean of its divisors is an integer number (58065).

2⁹⁹⁷¹⁶⁵ is an apocalyptic number.

It is an amenable number.

997165 is a deficient number, since it is larger than the sum of its proper divisors (396395).

997165 is a wasteful number, since it uses less digits than its factorization.

997165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its digits is 17010, while the sum is 37.

The square root of 997165 is about 998.5814939203. The cubic root of 997165 is about 99.9054105566.

The spelling of 997165 in words is "nine hundred ninety-seven thousand, one hundred sixty-five".