7543 has 4 divisors (see below), whose sum is σ = 7960. Its totient is φ = 7128.

The previous prime is 7541. The next prime is 7547. The reversal of 7543 is 3457.

7543 is nontrivially palindromic in base 9.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 7543 - 2¹ = 7541 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19), and also a Moran number because the ratio is a prime number: 397 = 7543 / (7 + 5 + 4 + 3).

It is a Duffinian number.

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 7543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7541) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180 + ... + 217.

It is an arithmetic number, because the mean of its divisors is an integer number (1990).

7543 is a deficient number, since it is larger than the sum of its proper divisors (417).

7543 is a wasteful number, since it uses less digits than its factorization.

7543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416.

The product of its digits is 420, while the sum is 19.

The square root of 7543 is about 86.8504461704. The cubic root of 7543 is about 19.6116756757.

It can be divided in two parts, 754 and 3, that added together give a palindrome (757).

The spelling of 7543 in words is "seven thousand, five hundred forty-three".