45114 has 16 divisors (see below), whose sum is σ = 92352. Its totient is φ = 14688.

The previous prime is 45083. The next prime is 45119. The reversal of 45114 is 41154.

It is a junction number, because it is equal to n+sod(n) for n = 45093 and 45102.

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 7 ways as a sum of consecutive naturals, for example, 387 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (5772).

2⁴⁵¹¹⁴ is an apocalyptic number.

45114 is an abundant number, since it is smaller than the sum of its proper divisors (47238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46176).

45114 is a wasteful number, since it uses less digits than its factorization.

45114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181.

The product of its digits is 80, while the sum is 15.

The square root of 45114 is about 212.4005649710. The cubic root of 45114 is about 35.5989437047.

Adding to 45114 its reverse (41154), we get a palindrome (86268).

It can be divided in two parts, 451 and 14, that added together give a triangular number (465 = T₃₀).

The spelling of 45114 in words is "forty-five thousand, one hundred fourteen".