82935 has 24 divisors (see below), whose sum is σ = 152880. Its totient is φ = 41472.

The previous prime is 82913. The next prime is 82939. The reversal of 82935 is 53928.

82935 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 82935 - 2⁵ = 82903 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82899 and 82908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82939) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 807 + ... + 903.

It is an arithmetic number, because the mean of its divisors is an integer number (6370).

2⁸²⁹³⁵ is an apocalyptic number.

82935 is a deficient number, since it is larger than the sum of its proper divisors (69945).

82935 is a wasteful number, since it uses less digits than its factorization.

82935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 124 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 82935 is about 287.9843745761. The cubic root of 82935 is about 43.6093168093.

The spelling of 82935 in words is "eighty-two thousand, nine hundred thirty-five".