45117 has 10 divisors (see below), whose sum is σ = 67518. Its totient is φ = 30024.

The previous prime is 45083. The next prime is 45119. The reversal of 45117 is 71154.

45117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 29241 + 15876 = 171^2 + 126^2 .

It is not a de Polignac number, because 45117 - 2⁶ = 45053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 45117.

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 9 ways as a sum of consecutive naturals, for example, 198 + ... + 359.

2⁴⁵¹¹⁷ is an apocalyptic number.

It is an amenable number.

45117 is a deficient number, since it is larger than the sum of its proper divisors (22401).

45117 is an equidigital number, since it uses as much as digits as its factorization.

45117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 560 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 45117 is about 212.4076269817. The cubic root of 45117 is about 35.5997327758.

It can be divided in two parts, 451 and 17, that multiplied together give a palindrome (7667).

The spelling of 45117 in words is "forty-five thousand, one hundred seventeen".