7557 has 8 divisors (see below), whose sum is σ = 11040. Its totient is φ = 4560.

The previous prime is 7549. The next prime is 7559.

7557 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 7557 - 2³ = 7549 is a prime.

It is a plaindrome in base 12 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7559) 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, 82 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (1380).

It is an amenable number.

7557 is a deficient number, since it is larger than the sum of its proper divisors (3483).

7557 is a wasteful number, since it uses less digits than its factorization.

7557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243.

The product of its digits is 1225, while the sum is 24.

The square root of 7557 is about 86.9310071263. The cubic root of 7557 is about 19.6238014333.

The spelling of 7557 in words is "seven thousand, five hundred fifty-seven".