45320 has 32 divisors (see below), whose sum is σ = 112320. Its totient is φ = 16320.

The previous prime is 45319. The next prime is 45329. The reversal of 45320 is 2354.

It is an Ulam number.

It is a plaindrome in base 12.

It is a nialpdrome in base 15.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 45295 and 45304.

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 45320.

It is not an unprimeable number, because it can be changed into a prime (45329) 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 7 ways as a sum of consecutive naturals, for example, 389 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (3510).

2⁴⁵³²⁰ is an apocalyptic number.

45320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56160).

45320 is an abundant number, since it is smaller than the sum of its proper divisors (67000).

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

45320 is a wasteful number, since it uses less digits than its factorization.

45320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 45320 is about 212.8849454518. The cubic root of 45320 is about 35.6530455261.

Adding to 45320 its reverse (2354), we get a palindrome (47674).

It can be divided in two parts, 45 and 320, that multiplied together give a square (14400 = 120²).

The spelling of 45320 in words is "forty-five thousand, three hundred twenty".