97838 has 16 divisors (see below), whose sum is σ = 163296. Its totient is φ = 43680.

The previous prime is 97829. The next prime is 97841. The reversal of 97838 is 83879.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 97798 and 97807.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1343 + ... + 1413.

It is an arithmetic number, because the mean of its divisors is an integer number (10206).

2⁹⁷⁸³⁸ is an apocalyptic number.

97838 is a deficient number, since it is larger than the sum of its proper divisors (65458).

97838 is a wasteful number, since it uses less digits than its factorization.

97838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139.

The product of its digits is 12096, while the sum is 35.

The square root of 97838 is about 312.7906648223. The cubic root of 97838 is about 46.0789444645.

The spelling of 97838 in words is "ninety-seven thousand, eight hundred thirty-eight".