165404097 has 24 divisors (see below), whose sum is σ = 248175720. Its totient is φ = 106064640.

The previous prime is 165404093. The next prime is 165404147. The reversal of 165404097 is 790404561.

165404097 is a `hidden beast` number, since 165 + 404 + 0 + 97 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20466576 + 144937521 = 4524^2 + 12039^2 .

It is not a de Polignac number, because 165404097 - 2² = 165404093 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165404093) 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 23 ways as a sum of consecutive naturals, for example, 26847 + ... + 32427.

It is an arithmetic number, because the mean of its divisors is an integer number (10340655).

Almost surely, 2^165404097 is an apocalyptic number.

It is an amenable number.

165404097 is a deficient number, since it is larger than the sum of its proper divisors (82771623).

165404097 is a wasteful number, since it uses less digits than its factorization.

165404097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5713 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 165404097 is about 12860.9524141877. The cubic root of 165404097 is about 548.9280465486.

The spelling of 165404097 in words is "one hundred sixty-five million, four hundred four thousand, ninety-seven".