7257 has 8 divisors (see below), whose sum is σ = 10080. Its totient is φ = 4640.

The previous prime is 7253. The next prime is 7283. The reversal of 7257 is 7527.

7257 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7257 - 2² = 7253 is a prime.

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 (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 7 ways as a sum of consecutive naturals, for example, 94 + ... + 152.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2⁷²⁵⁷ is an apocalyptic number.

It is an amenable number.

7257 is a deficient number, since it is larger than the sum of its proper divisors (2823).

7257 is a wasteful number, since it uses less digits than its factorization.

7257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103.

The product of its digits is 490, while the sum is 21.

The square root of 7257 is about 85.1880273278. The cubic root of 7257 is about 19.3606101964.

The spelling of 7257 in words is "seven thousand, two hundred fifty-seven".