82008935 has 16 divisors (see below), whose sum is σ = 104439456. Its totient is φ = 61605888.

The previous prime is 82008917. The next prime is 82008943. The reversal of 82008935 is 53980028.

It is a cyclic number.

It is not a de Polignac number, because 82008935 - 2⁸ = 82008679 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82008895 and 82008904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49592 + ... + 51218.

It is an arithmetic number, because the mean of its divisors is an integer number (6527466).

Almost surely, 2^82008935 is an apocalyptic number.

82008935 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82008935 is a deficient number, since it is larger than the sum of its proper divisors (22430521).

82008935 is a wasteful number, since it uses less digits than its factorization.

82008935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 82008935 is about 9055.8784775415. The cubic root of 82008935 is about 434.4639276550.

The spelling of 82008935 in words is "eighty-two million, eight thousand, nine hundred thirty-five".