87992 has 16 divisors (see below), whose sum is σ = 174960. Its totient is φ = 41344.

The previous prime is 87991. The next prime is 88001. The reversal of 87992 is 29978.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87992.

It is not an unprimeable number, because it can be changed into a prime (87991) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (10935).

2⁸⁷⁹⁹² is an apocalyptic number.

It is an amenable number.

87992 is a deficient number, since it is larger than the sum of its proper divisors (86968).

87992 is a wasteful number, since it uses less digits than its factorization.

87992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 666 counting only the distinct ones).

The product of its digits is 9072, while the sum is 35.

The square root of 87992 is about 296.6344551801. The cubic root of 87992 is about 44.4782539038.

It can be divided in two parts, 8 and 7992, that multiplied together give a palindrome (63936).

The spelling of 87992 in words is "eighty-seven thousand, nine hundred ninety-two".