165504006 has 32 divisors (see below), whose sum is σ = 370062720. Its totient is φ = 54826632.

The previous prime is 165503977. The next prime is 165504023. The reversal of 165504006 is 600405561.

It is a happy number.

165504006 is a `hidden beast` number, since 1 + 655 + 0 + 4 + 0 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 600 + ... + 18203.

It is an arithmetic number, because the mean of its divisors is an integer number (11564460).

Almost surely, 2^165504006 is an apocalyptic number.

165504006 is an abundant number, since it is smaller than the sum of its proper divisors (204558714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165504006 is a wasteful number, since it uses less digits than its factorization.

165504006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18977 (or 18971 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 165504006 is about 12864.8360269379. The cubic root of 165504006 is about 549.0385472650.

Adding to 165504006 its reverse (600405561), we get a palindrome (765909567).

The spelling of 165504006 in words is "one hundred sixty-five million, five hundred four thousand, six".