7249 has 4 divisors (see below), whose sum is σ = 7920. Its totient is φ = 6580.

The previous prime is 7247. The next prime is 7253. The reversal of 7249 is 9427.

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, and also an emirpimes, since its reverse is a distinct semiprime: 9427 = 11 ⋅857.

It is a cyclic number.

It is not a de Polignac number, because 7249 - 2¹ = 7247 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

7249 is a lucky number.

It is a plaindrome in base 15.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (7243) 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, 319 + ... + 340.

It is an arithmetic number, because the mean of its divisors is an integer number (1980).

2⁷²⁴⁹ is an apocalyptic number.

It is an amenable number.

7249 is a deficient number, since it is larger than the sum of its proper divisors (671).

7249 is a wasteful number, since it uses less digits than its factorization.

7249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670.

The product of its digits is 504, while the sum is 22.

The square root of 7249 is about 85.1410594249. The cubic root of 7249 is about 19.3534933055.

Subtracting from 7249 its sum of digits (22), we obtain a palindrome (7227).

It can be divided in two parts, 72 and 49, that added together give a palindrome (121).

The spelling of 7249 in words is "seven thousand, two hundred forty-nine".