63582 has 8 divisors (see below), whose sum is σ = 127176. Its totient is φ = 21192.

The previous prime is 63577. The next prime is 63587. The reversal of 63582 is 28536.

It is an interprime number because it is at equal distance from previous prime (63577) and next prime (63587).

It is a sphenic number, since it is the product of 3 distinct primes.

63582 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63587) 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, 5293 + ... + 5304.

It is an arithmetic number, because the mean of its divisors is an integer number (15897).

2⁶³⁵⁸² is an apocalyptic number.

63582 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (63588).

63582 is a wasteful number, since it uses less digits than its factorization.

63582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10602.

The product of its digits is 1440, while the sum is 24.

The square root of 63582 is about 252.1547144116. The cubic root of 63582 is about 39.9127263881.

It can be divided in two parts, 635 and 82, that added together give a palindrome (717).

The spelling of 63582 in words is "sixty-three thousand, five hundred eighty-two".