10587 has 4 divisors (see below), whose sum is σ = 14120. Its totient is φ = 7056.

The previous prime is 10567. The next prime is 10589. The reversal of 10587 is 78501.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 10587 - 2⁷ = 10459 is a prime.

It is a super-2 number, since 2×10587² = 224169138, which contains 22 as substring.

It is a D-number.

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

It is a Duffinian number.

10587 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10587.

It is not an unprimeable number, because it can be changed into a prime (10589) 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, 1762 + ... + 1767.

It is an arithmetic number, because the mean of its divisors is an integer number (3530).

2¹⁰⁵⁸⁷ is an apocalyptic number.

10587 is a deficient number, since it is larger than the sum of its proper divisors (3533).

10587 is an equidigital number, since it uses as much as digits as its factorization.

10587 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 10587 is about 102.8931484599. The cubic root of 10587 is about 21.9579085005.

The spelling of 10587 in words is "ten thousand, five hundred eighty-seven".