165292641 has 6 divisors (see below), whose sum is σ = 238756050. Its totient is φ = 110195088.

The previous prime is 165292619. The next prime is 165292657. The reversal of 165292641 is 146292561.

165292641 is a `hidden beast` number, since 1 + 6 + 5 + 2 + 9 + 2 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 165251025 + 41616 = 12855^2 + 204^2 .

It is not a de Polignac number, because 165292641 - 2⁶ = 165292577 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 165292596 and 165292605.

It is not an unprimeable number, because it can be changed into a prime (165292681) 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 5 ways as a sum of consecutive naturals, for example, 9182916 + ... + 9182933.

It is an arithmetic number, because the mean of its divisors is an integer number (39792675).

Almost surely, 2^165292641 is an apocalyptic number.

It is an amenable number.

165292641 is a deficient number, since it is larger than the sum of its proper divisors (73463409).

165292641 is a wasteful number, since it uses less digits than its factorization.

165292641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18365855 (or 18365852 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 165292641 is about 12856.6185678817. The cubic root of 165292641 is about 548.8047221716.

The spelling of 165292641 in words is "one hundred sixty-five million, two hundred ninety-two thousand, six hundred forty-one".