4581 has 6 divisors (see below), whose sum is σ = 6630. Its totient is φ = 3048.

The previous prime is 4567. The next prime is 4583. The reversal of 4581 is 1854.

It can be written as a sum of positive squares in only one way, i.e., 4356 + 225 = 66^2 + 15^2 .

It is not a de Polignac number, because 4581 - 2⁵ = 4549 is a prime.

It is a super-2 number, since 2×4581² = 41971122, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

4581 is a modest number, since divided by 81 gives 45 as remainder.

It is a plaindrome in base 12 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4583) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 246 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (1105).

2⁴⁵⁸¹ is an apocalyptic number.

It is an amenable number.

4581 is a deficient number, since it is larger than the sum of its proper divisors (2049).

4581 is a wasteful number, since it uses less digits than its factorization.

4581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 512 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 4581 is about 67.6830850361. The cubic root of 4581 is about 16.6081055881.

It can be divided in two parts, 4 and 581, that added together give a palindrome (585).

The spelling of 4581 in words is "four thousand, five hundred eighty-one".