45521 has 6 divisors (see below), whose sum is σ = 53010. Its totient is φ = 38976.

The previous prime is 45503. The next prime is 45523. The reversal of 45521 is 12554.

45521 = 3² + 4² + ... + 51².

45521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 25921 + 19600 = 161^2 + 140^2 .

It is not a de Polignac number, because 45521 - 2¹⁰ = 44497 is a prime.

It is a super-2 number, since 2×45521² = 4144322882, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45521.

It is not an unprimeable number, because it can be changed into a prime (45523) 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, 416 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (8835).

2⁴⁵⁵²¹ is an apocalyptic number.

It is an amenable number.

45521 is a deficient number, since it is larger than the sum of its proper divisors (7489).

45521 is an equidigital number, since it uses as much as digits as its factorization.

45521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 936 counting only the distinct ones).

The product of its digits is 200, while the sum is 17.

The square root of 45521 is about 213.3565091578. The cubic root of 45521 is about 35.7056764010.

The spelling of 45521 in words is "forty-five thousand, five hundred twenty-one".