45321 has 4 divisors (see below), whose sum is σ = 60432. Its totient is φ = 30212.

The previous prime is 45319. The next prime is 45329. The reversal of 45321 is 12354.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 45321 - 2¹ = 45319 is a prime.

It is a D-number.

It is a plaindrome in base 12.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 45321.

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 3 ways as a sum of consecutive naturals, for example, 7551 + ... + 7556.

It is an arithmetic number, because the mean of its divisors is an integer number (15108).

2⁴⁵³²¹ is an apocalyptic number.

It is an amenable number.

45321 is a deficient number, since it is larger than the sum of its proper divisors (15111).

45321 is a wasteful number, since it uses less digits than its factorization.

45321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15110.

The product of its digits is 120, while the sum is 15.

The square root of 45321 is about 212.8872941253. The cubic root of 45321 is about 35.6533077561.

Adding to 45321 its reverse (12354), we get a palindrome (57675).

It can be divided in two parts, 453 and 21, that added together give a palindrome (474).

The spelling of 45321 in words is "forty-five thousand, three hundred twenty-one".