8005249 has 8 divisors (see below), whose sum is σ = 9687168. Its totient is φ = 6457920.

The previous prime is 8005243. The next prime is 8005271. The reversal of 8005249 is 9425008.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8005249 - 2³ = 8005241 is a prime.

It is a super-3 number, since 3×8005249³ (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8005241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33517 + ... + 33754.

It is an arithmetic number, because the mean of its divisors is an integer number (1210896).

Almost surely, 2^8005249 is an apocalyptic number.

It is an amenable number.

8005249 is a deficient number, since it is larger than the sum of its proper divisors (1681919).

8005249 is a wasteful number, since it uses less digits than its factorization.

8005249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67295.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 8005249 is about 2829.3548734650. The cubic root of 8005249 is about 200.0437321035.

The spelling of 8005249 in words is "eight million, five thousand, two hundred forty-nine".