97835 has 8 divisors (see below), whose sum is σ = 124416. Its totient is φ = 73600.

The previous prime is 97829. The next prime is 97841. The reversal of 97835 is 53879.

It is an interprime number because it is at equal distance from previous prime (97829) and next prime (97841).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 97835 - 2⁶ = 97771 is a prime.

It is a Duffinian 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, 491 + ... + 660.

It is an arithmetic number, because the mean of its divisors is an integer number (15552).

2⁹⁷⁸³⁵ is an apocalyptic number.

97835 is a deficient number, since it is larger than the sum of its proper divisors (26581).

97835 is a wasteful number, since it uses less digits than its factorization.

97835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173.

The product of its digits is 7560, while the sum is 32.

The square root of 97835 is about 312.7858692460. The cubic root of 97835 is about 46.0784734878.

Subtracting from 97835 its reverse (53879), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 97835 in words is "ninety-seven thousand, eight hundred thirty-five".