8005209 has 16 divisors (see below), whose sum is σ = 11235840. Its totient is φ = 5063040.

The previous prime is 8005187. The next prime is 8005211. The reversal of 8005209 is 9025008.

It is not a de Polignac number, because 8005209 - 2⁹ = 8004697 is a prime.

It is a super-2 number, since 2×8005209² = 128166742267362, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8006209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3672 + ... + 5430.

It is an arithmetic number, because the mean of its divisors is an integer number (702240).

Almost surely, 2^8005209 is an apocalyptic number.

It is an amenable number.

8005209 is a deficient number, since it is larger than the sum of its proper divisors (3230631).

8005209 is a wasteful number, since it uses less digits than its factorization.

8005209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 8005209 is about 2829.3478047069. The cubic root of 8005209 is about 200.0433989153.

The spelling of 8005209 in words is "eight million, five thousand, two hundred nine".