10249 has 4 divisors (see below), whose sum is σ = 10564. Its totient is φ = 9936.

The previous prime is 10247. The next prime is 10253. The reversal of 10249 is 94201.

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 5625 + 4624 = 75^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 10249 - 2¹ = 10247 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (10243) 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, 102 + ... + 175.

It is an arithmetic number, because the mean of its divisors is an integer number (2641).

2¹⁰²⁴⁹ is an apocalyptic number.

It is an amenable number.

10249 is a deficient number, since it is larger than the sum of its proper divisors (315).

10249 is an equidigital number, since it uses as much as digits as its factorization.

10249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10249 is about 101.2373448881. The cubic root of 10249 is about 21.7217009861.

It can be divided in two parts, 1024 and 9, that multiplied together give a square (9216 = 96²).

The spelling of 10249 in words is "ten thousand, two hundred forty-nine".