2249 has 4 divisors (see below), whose sum is σ = 2436. Its totient is φ = 2064.

The previous prime is 2243. The next prime is 2251. The reversal of 2249 is 9422.

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 1225 + 1024 = 35^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 2249 - 2^{8} = 1993 is a prime.

It is a magnanimous number.

It is an Ulam number.

It is a d-powerful number, because it can be written as **2**^{7} + **4**^{3} + **2**^{11} + **9** .

It is a Duffinian number.

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243) 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, 74 + ... + 99.

It is an arithmetic number, because the mean of its divisors is an integer number (609).

It is an amenable number.

2249 is a deficient number, since it is larger than the sum of its proper divisors (187).

2249 is a wasteful number, since it uses less digits than its factorization.

2249 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 144, while the sum is 17.

The square root of 2249 is about 47.4236228055. The cubic root of 2249 is about 13.1017653935.

It can be divided in two parts, 224 and 9, that multiplied together give a triangular number (2016 = T_{63}).

The spelling of 2249 in words is "two thousand, two hundred forty-nine".

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