45124 has 12 divisors (see below), whose sum is σ = 81900. Its totient is φ = 21728.

The previous prime is 45121. The next prime is 45127. The reversal of 45124 is 42154.

It is an interprime number because it is at equal distance from previous prime (45121) and next prime (45127).

It can be written as a sum of positive squares in 2 ways, for example, as 16900 + 28224 = 130^2 + 168^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45098 and 45107.

It is not an unprimeable number, because it can be changed into a prime (45121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79 + ... + 310.

It is an arithmetic number, because the mean of its divisors is an integer number (6825).

2⁴⁵¹²⁴ is an apocalyptic number.

It is an amenable number.

45124 is a deficient number, since it is larger than the sum of its proper divisors (36776).

45124 is a wasteful number, since it uses less digits than its factorization.

45124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 420 counting only the distinct ones).

The product of its digits is 160, while the sum is 16.

The square root of 45124 is about 212.4241040937. The cubic root of 45124 is about 35.6015738058.

Adding to 45124 its reverse (42154), we get a palindrome (87278).

It can be divided in two parts, 45 and 124, that added together give a square (169 = 13²).

The spelling of 45124 in words is "forty-five thousand, one hundred twenty-four".