8049 has 4 divisors (see below), whose sum is σ = 10736. Its totient is φ = 5364.

The previous prime is 8039. The next prime is 8053. The reversal of 8049 is 9408.

8049 = 12² + 13² + ... + 29².

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 8049 - 2⁵ = 8017 is a prime.

It is a D-number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1339 + ... + 1344.

It is an arithmetic number, because the mean of its divisors is an integer number (2684).

2⁸⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

8049 is a deficient number, since it is larger than the sum of its proper divisors (2687).

8049 is a wasteful number, since it uses less digits than its factorization.

8049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 8049 is about 89.7162192694. The cubic root of 8049 is about 20.0407502478.

The spelling of 8049 in words is "eight thousand, forty-nine".