61563 has 4 divisors (see below), whose sum is σ = 82088. Its totient is φ = 41040.

The previous prime is 61561. The next prime is 61583. The reversal of 61563 is 36516.

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

It is not a de Polignac number, because 61563 - 2¹ = 61561 is a prime.

It is a D-number.

It is a Duffinian number.

61563 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (61561) 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, 10258 + ... + 10263.

It is an arithmetic number, because the mean of its divisors is an integer number (20522).

2⁶¹⁵⁶³ is an apocalyptic number.

61563 is a deficient number, since it is larger than the sum of its proper divisors (20525).

61563 is a wasteful number, since it uses less digits than its factorization.

61563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20524.

The product of its digits is 540, while the sum is 21.

The square root of 61563 is about 248.1189230994. The cubic root of 61563 is about 39.4857075889.

It can be divided in two parts, 61 and 563, that multiplied together give a palindrome (34343).

The spelling of 61563 in words is "sixty-one thousand, five hundred sixty-three".