87973827 has 32 divisors (see below), whose sum is σ = 133166592. Its totient is φ = 51346944.

The previous prime is 87973813. The next prime is 87973867. The reversal of 87973827 is 72837978.

It is not a de Polignac number, because 87973827 - 2¹⁵ = 87941059 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 87973827.

It is not an unprimeable number, because it can be changed into a prime (87973867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42388 + ... + 44414.

It is an arithmetic number, because the mean of its divisors is an integer number (4161456).

Almost surely, 2^87973827 is an apocalyptic number.

87973827 is a deficient number, since it is larger than the sum of its proper divisors (45192765).

87973827 is a wasteful number, since it uses less digits than its factorization.

87973827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107.

The product of its digits is 1185408, while the sum is 51.

The square root of 87973827 is about 9379.4363903169. The cubic root of 87973827 is about 444.7519165967.

The spelling of 87973827 in words is "eighty-seven million, nine hundred seventy-three thousand, eight hundred twenty-seven".