87832801 has 16 divisors (see below), whose sum is σ = 107919360. Its totient is φ = 69800400.

The previous prime is 87832799. The next prime is 87832817. The reversal of 87832801 is 10823878.

It is a cyclic number.

It is not a de Polignac number, because 87832801 - 2¹ = 87832799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87832001) 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 15 ways as a sum of consecutive naturals, for example, 775 + ... + 13276.

It is an arithmetic number, because the mean of its divisors is an integer number (6744960).

Almost surely, 2^87832801 is an apocalyptic number.

It is an amenable number.

87832801 is a deficient number, since it is larger than the sum of its proper divisors (20086559).

87832801 is a wasteful number, since it uses less digits than its factorization.

87832801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14124.

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 87832801 is about 9371.9155459276. The cubic root of 87832801 is about 444.5141370548.

The spelling of 87832801 in words is "eighty-seven million, eight hundred thirty-two thousand, eight hundred one".