45582 has 16 divisors (see below), whose sum is σ = 93312. Its totient is φ = 14840.

The previous prime is 45569. The next prime is 45587. The reversal of 45582 is 28554.

It is a plaindrome in base 12.

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 45582.

It is not an unprimeable number, because it can be changed into a prime (45587) by changing a digit.

45582 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (5832).

2⁴⁵⁵⁸² is an apocalyptic number.

It is a pronic number, being equal to 213×214.

45582 is an abundant number, since it is smaller than the sum of its proper divisors (47730).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46656).

45582 is a wasteful number, since it uses less digits than its factorization.

45582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183.

The product of its digits is 1600, while the sum is 24.

The square root of 45582 is about 213.4994145191. The cubic root of 45582 is about 35.7216183039.

It can be divided in two parts, 4558 and 2, that added together give a triangular number (4560 = T₉₅).

The spelling of 45582 in words is "forty-five thousand, five hundred eighty-two".