87812 has 12 divisors (see below), whose sum is σ = 159180. Its totient is φ = 42336.

The previous prime is 87811. The next prime is 87833. The reversal of 87812 is 21878.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 37636 = 224^2 + 194^2 .

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

It is not an unprimeable number, because it can be changed into a prime (87811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263 + ... + 494.

It is an arithmetic number, because the mean of its divisors is an integer number (13265).

2⁸⁷⁸¹² is an apocalyptic number.

It is an amenable number.

87812 is a deficient number, since it is larger than the sum of its proper divisors (71368).

87812 is a wasteful number, since it uses less digits than its factorization.

87812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 788 counting only the distinct ones).

The product of its digits is 896, while the sum is 26.

The square root of 87812 is about 296.3308961280. The cubic root of 87812 is about 44.4479043603.

The spelling of 87812 in words is "eighty-seven thousand, eight hundred twelve".