45522 has 20 divisors (see below), whose sum is σ = 102366. Its totient is φ = 15120.

The previous prime is 45503. The next prime is 45523. The reversal of 45522 is 22554.

45522 is digitally balanced in base 2 and base 4, because in such bases 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., 35721 + 9801 = 189^2 + 99^2 .

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 = 45495 and 45504.

It is not an unprimeable number, because it can be changed into a prime (45523) by changing a digit.

45522 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 22 + ... + 302.

2⁴⁵⁵²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51183).

45522 is an abundant number, since it is smaller than the sum of its proper divisors (56844).

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

45522 is a wasteful number, since it uses less digits than its factorization.

45522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 286 counting only the distinct ones).

The product of its digits is 400, while the sum is 18.

The square root of 45522 is about 213.3588526403. The cubic root of 45522 is about 35.7059378584.

It can be divided in two parts, 4552 and 2, that added together give a palindrome (4554).

The spelling of 45522 in words is "forty-five thousand, five hundred twenty-two".