5249 has 4 divisors (see below), whose sum is σ = 5460. Its totient is φ = 5040.

The previous prime is 5237. The next prime is 5261. The reversal of 5249 is 9425.

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

It is an interprime number because it is at equal distance from previous prime (5237) and next prime (5261).

It can be written as a sum of positive squares in 2 ways, for example, as 1024 + 4225 = 32^2 + 65^2 .

It is a cyclic number.

It is not a de Polignac number, because 5249 - 2⁴ = 5233 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5249.

It is not an unprimeable number, because it can be changed into a prime (5209) 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, 62 + ... + 119.

It is an arithmetic number, because the mean of its divisors is an integer number (1365).

It is a Proth number, since it is equal to 41 ⋅ 2⁷ + 1 and 41 < 2⁷.

It is an amenable number.

5249 is a deficient number, since it is larger than the sum of its proper divisors (211).

5249 is a wasteful number, since it uses less digits than its factorization.

5249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210.

The product of its digits is 360, while the sum is 20.

The square root of 5249 is about 72.4499827467. The cubic root of 5249 is about 17.3790296538.

It can be divided in two parts, 52 and 49, that added together give a palindrome (101).

The spelling of 5249 in words is "five thousand, two hundred forty-nine".