45561 has 4 divisors (see below), whose sum is σ = 60752. Its totient is φ = 30372.

The previous prime is 45557. The next prime is 45569. The reversal of 45561 is 16554.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 45561 - 2² = 45557 is a prime.

It is a D-number.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45561.

It is not an unprimeable number, because it can be changed into a prime (45569) 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, 7591 + ... + 7596.

It is an arithmetic number, because the mean of its divisors is an integer number (15188).

2⁴⁵⁵⁶¹ is an apocalyptic number.

It is an amenable number.

45561 is a deficient number, since it is larger than the sum of its proper divisors (15191).

45561 is a wasteful number, since it uses less digits than its factorization.

45561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15190.

The product of its digits is 600, while the sum is 21.

The square root of 45561 is about 213.4502283906. The cubic root of 45561 is about 35.7161317141.

It can be divided in two parts, 45 and 561, that added together give a palindrome (606).

The spelling of 45561 in words is "forty-five thousand, five hundred sixty-one".