7253 has 2 divisors, whose sum is σ = 7254.
Its totient is φ = 7252.
The previous prime is 7247. The next prime is 7283. The reversal of 7253 is 3527.
It can be divided in two parts, 72 and 53, that added together give a cube (125 = 53).
It is a weak prime.
It can be written as a sum of positive squares in only one way, i.e., 6724 + 529 = 82^2 + 23^2
It is an emirp because it is prime and its reverse (3527) is a distict prime.
It is a cyclic number.
It is not a de Polignac number, because 7253 - 24 = 7237 is a prime.
It is a Chen prime.
It is a plaindrome in base 13 and base 15.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (7213) 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 as a sum of consecutive naturals, namely, 3626 + 3627.
It is an arithmetic number, because the mean of its divisors is an integer number (3627).
27253 is an apocalyptic number.
It is an amenable number.
7253 is a deficient number, since it is larger than the sum of its proper divisors (1).
7253 is an equidigital number, since it uses as much as digits as its factorization.
7253 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 210, while the sum is 17.
The square root of 7253 is about 85.1645466142.
The cubic root of 7253 is about 19.3570524051.
The spelling of 7253 in words is "seven thousand, two hundred fifty-three".