97335 has 32 divisors (see below), whose sum is σ = 199680. Its totient is φ = 44064.

The previous prime is 97327. The next prime is 97367. The reversal of 97335 is 53379.

It is a Cunningham number, because it is equal to 46³-1.

It is not a de Polignac number, because 97335 - 2³ = 97327 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

97335 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 97299 and 97308.

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 31 ways as a sum of consecutive naturals, for example, 894 + ... + 996.

It is an arithmetic number, because the mean of its divisors is an integer number (6240).

2⁹⁷³³⁵ is an apocalyptic number.

97335 is an abundant number, since it is smaller than the sum of its proper divisors (102345).

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 (99840).

97335 is a wasteful number, since it uses less digits than its factorization.

97335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 97335 is about 311.9855765897. The cubic root of 97335 is about 45.9998424695. Note that the first 3 decimals are identical.

Subtracting from 97335 its reverse (53379), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 97335 in words is "ninety-seven thousand, three hundred thirty-five".