45563 has 8 divisors (see below), whose sum is σ = 54528. Its totient is φ = 37224.

The previous prime is 45557. The next prime is 45569. The reversal of 45563 is 36554.

It is an interprime number because it is at equal distance from previous prime (45557) and next prime (45569).

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

It is a cyclic number.

It is not a de Polignac number, because 45563 - 2⁸ = 45307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (45569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20 + ... + 302.

It is an arithmetic number, because the mean of its divisors is an integer number (6816).

2⁴⁵⁵⁶³ is an apocalyptic number.

45563 is a deficient number, since it is larger than the sum of its proper divisors (8965).

45563 is a wasteful number, since it uses less digits than its factorization.

45563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313.

The product of its digits is 1800, while the sum is 23.

The square root of 45563 is about 213.4549132721. The cubic root of 45563 is about 35.7166543191.

Subtracting from 45563 its reverse (36554), we obtain a palindrome (9009).

The spelling of 45563 in words is "forty-five thousand, five hundred sixty-three".