45111 has 8 divisors (see below), whose sum is σ = 65664. Its totient is φ = 27320.

The previous prime is 45083. The next prime is 45119. The reversal of 45111 is 11154.

It is a happy number.

45111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 45111 - 2⁷ = 44983 is a prime.

45111 is a modest number, since divided by 111 gives 45 as remainder.

45111 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 651 + ... + 716.

It is an arithmetic number, because the mean of its divisors is an integer number (8208).

2⁴⁵¹¹¹ is an apocalyptic number.

45111 is a deficient number, since it is larger than the sum of its proper divisors (20553).

45111 is a wasteful number, since it uses less digits than its factorization.

45111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381.

The product of its digits is 20, while the sum is 12.

The square root of 45111 is about 212.3935027255. The cubic root of 45111 is about 35.5981545986.

Adding to 45111 its reverse (11154), we get a palindrome (56265).

It can be divided in two parts, 4 and 5111, that added together give a palindrome (5115).

The spelling of 45111 in words is "forty-five thousand, one hundred eleven".