8249 has 4 divisors (see below), whose sum is σ = 8436. Its totient is φ = 8064.

The previous prime is 8243. The next prime is 8263. The reversal of 8249 is 9428.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1849 + 6400 = 43^2 + 80^2 .

It is a cyclic number.

It is not a de Polignac number, because 8249 - 2⁴ = 8233 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (8243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17 + ... + 129.

It is an arithmetic number, because the mean of its divisors is an integer number (2109).

2⁸²⁴⁹ is an apocalyptic number.

It is an amenable number.

8249 is a deficient number, since it is larger than the sum of its proper divisors (187).

8249 is a wasteful number, since it uses less digits than its factorization.

8249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186.

The product of its digits is 576, while the sum is 23.

The square root of 8249 is about 90.8240056373. The cubic root of 8249 is about 20.2053836580.

It can be divided in two parts, 82 and 49, that added together give a palindrome (131).

The spelling of 8249 in words is "eight thousand, two hundred forty-nine".