97884 has 18 divisors (see below), whose sum is σ = 247520. Its totient is φ = 32616.

The previous prime is 97883. The next prime is 97919. The reversal of 97884 is 48879.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2719 = 97884 / (9 + 7 + 8 + 8 + 4).

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 97884.

It is not an unprimeable number, because it can be changed into a prime (97883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1324 + ... + 1395.

2⁹⁷⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

97884 is an abundant number, since it is smaller than the sum of its proper divisors (149636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

97884 is a wasteful number, since it uses less digits than its factorization.

97884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2724 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 97884 is about 312.8641877876. The cubic root of 97884 is about 46.0861649015.

The spelling of 97884 in words is "ninety-seven thousand, eight hundred eighty-four".