87832 has 8 divisors (see below), whose sum is σ = 164700. Its totient is φ = 43912.

The previous prime is 87811. The next prime is 87833. The reversal of 87832 is 23878.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5482 + ... + 5497.

2⁸⁷⁸³² is an apocalyptic number.

It is an amenable number.

87832 is a deficient number, since it is larger than the sum of its proper divisors (76868).

87832 is a wasteful number, since it uses less digits than its factorization.

87832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10985 (or 10981 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 87832 is about 296.3646402660. The cubic root of 87832 is about 44.4512785787.

It can be divided in two parts, 87 and 832, that added together give a palindrome (919).

The spelling of 87832 in words is "eighty-seven thousand, eight hundred thirty-two".