165005000 has 80 divisors (see below), whose sum is σ = 393670860. Its totient is φ = 64800000.

The previous prime is 165004999. The next prime is 165005017. The reversal of 165005000 is 500561.

165005000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 58461316 + 106543684 = 7646^2 + 10322^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 165005000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 304730 + ... + 305270.

Almost surely, 2^165005000 is an apocalyptic number.

165005000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196835430).

165005000 is an abundant number, since it is smaller than the sum of its proper divisors (228665860).

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

165005000 is an equidigital number, since it uses as much as digits as its factorization.

165005000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 165005000 is about 12845.4272019268. The cubic root of 165005000 is about 548.4861953959.

Adding to 165005000 its reverse (500561), we get a palindrome (165505561).

The spelling of 165005000 in words is "one hundred sixty-five million, five thousand".