165401361 has 6 divisors (see below), whose sum is σ = 238913090. Its totient is φ = 110267568.

The previous prime is 165401311. The next prime is 165401363. The reversal of 165401361 is 163104561.

165401361 is a `hidden beast` number, since 1 + 654 + 0 + 1 + 3 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146531025 + 18870336 = 12105^2 + 4344^2 .

It is not a de Polignac number, because 165401361 - 2⁷ = 165401233 is a prime.

It is a super-2 number, since 2×165401361² = 54715220441304642, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (165401363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9188956 + ... + 9188973.

Almost surely, 2^165401361 is an apocalyptic number.

It is an amenable number.

165401361 is a deficient number, since it is larger than the sum of its proper divisors (73511729).

165401361 is a wasteful number, since it uses less digits than its factorization.

165401361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18377935 (or 18377932 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 165401361 is about 12860.8460452647. The cubic root of 165401361 is about 548.9250198694.

The spelling of 165401361 in words is "one hundred sixty-five million, four hundred one thousand, three hundred sixty-one".