3563 has 4 divisors (see below), whose sum is σ = 4080. Its totient is φ = 3048.

The previous prime is 3559. The next prime is 3571. The reversal of 3563 is 3653.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 3653 = 13 ⋅281.

It is a cyclic number.

It is not a de Polignac number, because 3563 - 2² = 3559 is a prime.

It is a house number.

It is a Duffinian number.

3563 is a modest number, since divided by 63 gives 35 as remainder.

It is a plaindrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (3533) 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, 248 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (1020).

3563 is a deficient number, since it is larger than the sum of its proper divisors (517).

3563 is an equidigital number, since it uses as much as digits as its factorization.

3563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516.

The product of its digits is 270, while the sum is 17.

The square root of 3563 is about 59.6908703237. The cubic root of 3563 is about 15.2735013436.

The spelling of 3563 in words is "three thousand, five hundred sixty-three".