97830 has 24 divisors (see below), whose sum is σ = 254592. Its totient is φ = 26064.

The previous prime is 97829. The next prime is 97841. The reversal of 97830 is 3879.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 97794 and 97803.

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 97830.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454 + ... + 633.

It is an arithmetic number, because the mean of its divisors is an integer number (10608).

2⁹⁷⁸³⁰ is an apocalyptic number.

97830 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

97830 is an abundant number, since it is smaller than the sum of its proper divisors (156762).

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 (127296).

97830 is a wasteful number, since it uses less digits than its factorization.

97830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 97830 is about 312.7778764555. Note that the first 3 decimals coincide. The cubic root of 97830 is about 46.0776885053.

The spelling of 97830 in words is "ninety-seven thousand, eight hundred thirty".