87827 has 4 divisors (see below), whose sum is σ = 89136. Its totient is φ = 86520.

The previous prime is 87811. The next prime is 87833. The reversal of 87827 is 72878.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 87827 - 2⁴ = 87811 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 87793 and 87802.

It is not an unprimeable number, because it can be changed into a prime (87877) 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, 548 + ... + 689.

It is an arithmetic number, because the mean of its divisors is an integer number (22284).

2⁸⁷⁸²⁷ is an apocalyptic number.

87827 is a deficient number, since it is larger than the sum of its proper divisors (1309).

87827 is a wasteful number, since it uses less digits than its factorization.

87827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308.

The product of its digits is 6272, while the sum is 32.

The square root of 87827 is about 296.3562045917. The cubic root of 87827 is about 44.4504350721.

The spelling of 87827 in words is "eighty-seven thousand, eight hundred twenty-seven".