8005050 has 36 divisors (see below), whose sum is σ = 21508110. Its totient is φ = 2134560.

The previous prime is 8005027. The next prime is 8005051. The reversal of 8005050 is 505008.

It can be written as a sum of positive squares in 3 ways, for example, as 7634169 + 370881 = 2763^2 + 609^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

8005050 is a modest number, since divided by 5050 gives 800 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8005051) 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, 8445 + ... + 9344.

Almost surely, 2^8005050 is an apocalyptic number.

8005050 is an abundant number, since it is smaller than the sum of its proper divisors (13503060).

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

8005050 is a wasteful number, since it uses less digits than its factorization.

8005050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17807 (or 17799 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 8005050 is about 2829.3197062191. The cubic root of 8005050 is about 200.0420744814.

The spelling of 8005050 in words is "eight million, five thousand, fifty".