45324 has 18 divisors (see below), whose sum is σ = 114660. Its totient is φ = 15096.

The previous prime is 45319. The next prime is 45329. The reversal of 45324 is 42354.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45319) and next prime (45329).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 45297 and 45306.

It is not an unprimeable number, because it can be changed into a prime (45329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 594 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (6370).

2⁴⁵³²⁴ is an apocalyptic number.

It is an amenable number.

45324 is an abundant number, since it is smaller than the sum of its proper divisors (69336).

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

45324 is a wasteful number, since it uses less digits than its factorization.

45324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1264 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 45324 is about 212.8943399905. The cubic root of 45324 is about 35.6540944227.

Subtracting from 45324 its product of digits (480), we obtain a palindrome (44844).

Adding to 45324 its reverse (42354), we get a palindrome (87678).

The spelling of 45324 in words is "forty-five thousand, three hundred twenty-four".