165208401 has 18 divisors (see below), whose sum is σ = 251860050. Its totient is φ = 104340096.

The previous prime is 165208387. The next prime is 165208403. The reversal of 165208401 is 104802561.

165208401 is a `hidden beast` number, since 1 + 652 + 0 + 8 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 150185025 + 15023376 = 12255^2 + 3876^2 .

It is not a de Polignac number, because 165208401 - 2²² = 161014097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165208403) 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 17 ways as a sum of consecutive naturals, for example, 22176 + ... + 28673.

It is an arithmetic number, because the mean of its divisors is an integer number (13992225).

Almost surely, 2^165208401 is an apocalyptic number.

It is an amenable number.

165208401 is a deficient number, since it is larger than the sum of its proper divisors (86651649).

165208401 is a wasteful number, since it uses less digits than its factorization.

165208401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50893 (or 50871 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 165208401 is about 12853.3420167675. The cubic root of 165208401 is about 548.7114750967.

The spelling of 165208401 in words is "one hundred sixty-five million, two hundred eight thousand, four hundred one".