7245 has 24 divisors (see below), whose sum is σ = 14976. Its totient is φ = 3168.

The previous prime is 7243. The next prime is 7247. The reversal of 7245 is 5427.

It is a happy number.

7245 is nontrivially palindromic in base 4.

It is an interprime number because it is at equal distance from previous prime (7243) and next prime (7247).

It is not a de Polignac number, because 7245 - 2¹ = 7243 is a prime.

7245 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7243) 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 23 ways as a sum of consecutive naturals, for example, 304 + ... + 326.

It is an arithmetic number, because the mean of its divisors is an integer number (624).

2⁷²⁴⁵ is an apocalyptic number.

It is an amenable number.

7245 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488).

7245 is a wasteful number, since it uses less digits than its factorization.

7245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 38 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 7245 is about 85.1175657547. The cubic root of 7245 is about 19.3499328964.

Subtracting from 7245 its sum of digits (18), we obtain a palindrome (7227).

It can be divided in two parts, 724 and 5, that added together give a 6-th power (729 = 3⁶).

The spelling of 7245 in words is "seven thousand, two hundred forty-five".