4587 has 8 divisors (see below), whose sum is σ = 6720. Its totient is φ = 2760.

The previous prime is 4583. The next prime is 4591. The reversal of 4587 is 7854.

It is an interprime number because it is at equal distance from previous prime (4583) and next prime (4591).

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

It is not a de Polignac number, because 4587 - 2² = 4583 is a prime.

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

4587 is a lucky number.

It is a plaindrome in 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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37 + ... + 102.

It is an arithmetic number, because the mean of its divisors is an integer number (840).

2⁴⁵⁸⁷ is an apocalyptic number.

4587 is a deficient number, since it is larger than the sum of its proper divisors (2133).

4587 is a wasteful number, since it uses less digits than its factorization.

4587 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153.

The product of its digits is 1120, while the sum is 24.

The square root of 4587 is about 67.7273947528. The cubic root of 4587 is about 16.6153532895.

It can be divided in two parts, 458 and 7, that added together give a triangular number (465 = T₃₀).

The spelling of 4587 in words is "four thousand, five hundred eighty-seven".