45113 has 4 divisors (see below), whose sum is σ = 45540. Its totient is φ = 44688.

The previous prime is 45083. The next prime is 45119. The reversal of 45113 is 31154.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 43264 + 1849 = 208^2 + 43^2 .

It is a cyclic number.

It is not a de Polignac number, because 45113 - 2¹⁰ = 44089 is a prime.

It is a Duffinian number.

It is a Curzon number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (11385).

2⁴⁵¹¹³ is an apocalyptic number.

It is an amenable number.

45113 is a deficient number, since it is larger than the sum of its proper divisors (427).

45113 is a wasteful number, since it uses less digits than its factorization.

45113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426.

The product of its digits is 60, while the sum is 14.

The square root of 45113 is about 212.3982109153. The cubic root of 45113 is about 35.5986806732.

Adding to 45113 its reverse (31154), we get a palindrome (76267).

It can be divided in two parts, 451 and 13, that added together give a palindrome (464).

The spelling of 45113 in words is "forty-five thousand, one hundred thirteen".