7563 has 4 divisors (see below), whose sum is σ = 10088. Its totient is φ = 5040.

The previous prime is 7561. The next prime is 7573. The reversal of 7563 is 3657.

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

It is not a de Polignac number, because 7563 - 2¹ = 7561 is a prime.

It is a D-number.

It is a Duffinian number.

7563 is a lucky number.

It is a plaindrome in base 9 and base 13.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7561) 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, 1258 + ... + 1263.

It is an arithmetic number, because the mean of its divisors is an integer number (2522).

2⁷⁵⁶³ is an apocalyptic number.

7563 is a deficient number, since it is larger than the sum of its proper divisors (2525).

7563 is a wasteful number, since it uses less digits than its factorization.

7563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524.

The product of its digits is 630, while the sum is 21.

The square root of 7563 is about 86.9655104050. The cubic root of 7563 is about 19.6289936022.

The spelling of 7563 in words is "seven thousand, five hundred sixty-three".