40587 has 8 divisors (see below), whose sum is σ = 55104. Its totient is φ = 26568.

The previous prime is 40583. The next prime is 40591. The reversal of 40587 is 78504.

It is an interprime number because it is at equal distance from previous prime (40583) and next prime (40591).

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

It is not a de Polignac number, because 40587 - 2² = 40583 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40587.

It is not an unprimeable number, because it can be changed into a prime (40583) 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, 168 + ... + 330.

It is an arithmetic number, because the mean of its divisors is an integer number (6888).

2⁴⁰⁵⁸⁷ is an apocalyptic number.

40587 is a deficient number, since it is larger than the sum of its proper divisors (14517).

40587 is a wasteful number, since it uses less digits than its factorization.

40587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249.

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

The square root of 40587 is about 201.4621552550. The cubic root of 40587 is about 34.3659998476.

The spelling of 40587 in words is "forty thousand, five hundred eighty-seven".