7251 has 4 divisors (see below), whose sum is σ = 9672. Its totient is φ = 4832.

The previous prime is 7247. The next prime is 7253. The reversal of 7251 is 1527.

Added to its reverse (1527) it gives a triangular number (8778 = T₁₃₂).

It is a happy number.

7251 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1527 = 3 ⋅509.

It is a cyclic number.

It is not a de Polignac number, because 7251 - 2² = 7247 is a prime.

It is a D-number.

It is a plaindrome in base 14 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 7251.

It is not an unprimeable number, because it can be changed into a prime (7253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1206 + ... + 1211.

It is an arithmetic number, because the mean of its divisors is an integer number (2418).

2⁷²⁵¹ is an apocalyptic number.

7251 is a deficient number, since it is larger than the sum of its proper divisors (2421).

7251 is a wasteful number, since it uses less digits than its factorization.

7251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420.

The product of its digits is 70, while the sum is 15.

The square root of 7251 is about 85.1528038294. The cubic root of 7251 is about 19.3552730189.

Adding to 7251 its reverse (1527), we get a palindrome (8778).

The spelling of 7251 in words is "seven thousand, two hundred fifty-one".