97832 has 16 divisors (see below), whose sum is σ = 209760. Its totient is φ = 41904.

The previous prime is 97829. The next prime is 97841. The reversal of 97832 is 23879.

It is a super-2 number, since 2×97832² = 19142200448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97795 and 97804.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 818 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (13110).

2⁹⁷⁸³² is an apocalyptic number.

It is an amenable number.

97832 is an abundant number, since it is smaller than the sum of its proper divisors (111928).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104880).

97832 is a wasteful number, since it uses less digits than its factorization.

97832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1756 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 97832 is about 312.7810735962. The cubic root of 97832 is about 46.0780025015.

It can be divided in two parts, 97 and 832, that added together give a palindrome (929).

The spelling of 97832 in words is "ninety-seven thousand, eight hundred thirty-two".