87824289 has 32 divisors (see below), whose sum is σ = 142305280. Its totient is φ = 47060352.

The previous prime is 87824287. The next prime is 87824291. The reversal of 87824289 is 98242878.

It is an interprime number because it is at equal distance from previous prime (87824287) and next prime (87824291).

It is not a de Polignac number, because 87824289 - 2¹ = 87824287 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (87824287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40029 + ... + 42165.

It is an arithmetic number, because the mean of its divisors is an integer number (4447040).

Almost surely, 2^87824289 is an apocalyptic number.

It is an amenable number.

87824289 is a deficient number, since it is larger than the sum of its proper divisors (54480991).

87824289 is a wasteful number, since it uses less digits than its factorization.

87824289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269.

The product of its digits is 516096, while the sum is 48.

The square root of 87824289 is about 9371.4614121811. The cubic root of 87824289 is about 444.4997770947.

The spelling of 87824289 in words is "eighty-seven million, eight hundred twenty-four thousand, two hundred eighty-nine".