3582 has 12 divisors (see below), whose sum is σ = 7800. Its totient is φ = 1188.

The previous prime is 3581. The next prime is 3583. The reversal of 3582 is 2853.

3582 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (3581) and next prime (3583).

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 199 = 3582 / (3 + 5 + 8 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3581) 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, 82 + ... + 117.

It is an arithmetic number, because the mean of its divisors is an integer number (650).

3582 is an abundant number, since it is smaller than the sum of its proper divisors (4218).

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

3582 is a wasteful number, since it uses less digits than its factorization.

3582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 204 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 3582 is about 59.8498120298. The cubic root of 3582 is about 15.3006023087.

Adding to 3582 its sum of digits (18), we get a square (3600 = 60²).

Subtracting from 3582 its reverse (2853), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 3 and 582, that added together give a palindrome (585).

The spelling of 3582 in words is "three thousand, five hundred eighty-two".