87527 has 8 divisors (see below), whose sum is σ = 97680. Its totient is φ = 77760.

The previous prime is 87523. The next prime is 87539. The reversal of 87527 is 72578.

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

It is a cyclic number.

It is not a de Polignac number, because 87527 - 2² = 87523 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 87527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (12210).

2⁸⁷⁵²⁷ is an apocalyptic number.

87527 is a deficient number, since it is larger than the sum of its proper divisors (10153).

87527 is a wasteful number, since it uses less digits than its factorization.

87527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193.

The product of its digits is 3920, while the sum is 29.

The square root of 87527 is about 295.8496239646. The cubic root of 87527 is about 44.3997659810.

The spelling of 87527 in words is "eighty-seven thousand, five hundred twenty-seven".