36563 has 2 divisors, whose sum is σ = 36564. Its totient is φ = 36562.

The previous prime is 36559. The next prime is 36571.

36563 is nontrivially palindromic in base 10.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 36563 - 2² = 36559 is a prime.

It is a Sophie Germain prime.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (36523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18281 + 18282.

It is an arithmetic number, because the mean of its divisors is an integer number (18282).

2³⁶⁵⁶³ is an apocalyptic number.

36563 is a deficient number, since it is larger than the sum of its proper divisors (1).

36563 is an equidigital number, since it uses as much as digits as its factorization.

36563 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1620, while the sum is 23.

The square root of 36563 is about 191.2145391962. The cubic root of 36563 is about 33.1905111509.

Adding to 36563 its product of digits (1620), we get a palindrome (38183).

Subtracting from 36563 its product of digits (1620), we obtain a palindrome (34943).

The spelling of 36563 in words is "thirty-six thousand, five hundred sixty-three".