4249 has 4 divisors (see below), whose sum is σ = 4864. Its totient is φ = 3636.

The previous prime is 4243. The next prime is 4253. The reversal of 4249 is 9424.

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 a cyclic number.

It is not a de Polignac number, because 4249 - 2³ = 4241 is a prime.

It is a d-powerful number, because it can be written as 4² + 4⁶ + 2⁷ + 9 .

It is a Duffinian number.

It is a plaindrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241) 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, 297 + ... + 310.

It is an arithmetic number, because the mean of its divisors is an integer number (1216).

2⁴²⁴⁹ is an apocalyptic number.

It is an amenable number.

4249 is a deficient number, since it is larger than the sum of its proper divisors (615).

4249 is an equidigital number, since it uses as much as digits as its factorization.

4249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614.

The product of its digits is 288, while the sum is 19.

The square root of 4249 is about 65.1843539509. The cubic root of 4249 is about 16.1967884707.

It can be divided in two parts, 42 and 49, that added together give a triangular number (91 = T₁₃).

The spelling of 4249 in words is "four thousand, two hundred forty-nine".