45116 has 6 divisors (see below), whose sum is σ = 78960. Its totient is φ = 22556.

The previous prime is 45083. The next prime is 45119. The reversal of 45116 is 61154.

It is a happy number.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 45094 and 45103.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45116.

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

45116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 5636 + ... + 5643.

It is an arithmetic number, because the mean of its divisors is an integer number (13160).

2⁴⁵¹¹⁶ is an apocalyptic number.

It is an amenable number.

45116 is a deficient number, since it is larger than the sum of its proper divisors (33844).

45116 is a wasteful number, since it uses less digits than its factorization.

45116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11283 (or 11281 counting only the distinct ones).

The product of its digits is 120, while the sum is 17.

The square root of 45116 is about 212.4052730042. The cubic root of 45116 is about 35.5994697560.

It can be divided in two parts, 45 and 116, that added together give a palindrome (161).

The spelling of 45116 in words is "forty-five thousand, one hundred sixteen".