82042935 has 32 divisors (see below), whose sum is σ = 149688000. Its totient is φ = 38012928.

The previous prime is 82042921. The next prime is 82042951. The reversal of 82042935 is 53924028.

It is a happy number.

It is not a de Polignac number, because 82042935 - 2¹⁸ = 81780791 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82042896 and 82042905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9060 + ... + 15689.

It is an arithmetic number, because the mean of its divisors is an integer number (4677750).

Almost surely, 2^82042935 is an apocalyptic number.

82042935 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

82042935 is a deficient number, since it is larger than the sum of its proper divisors (67645065).

82042935 is a wasteful number, since it uses less digits than its factorization.

82042935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24787.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 82042935 is about 9057.7555166829. The cubic root of 82042935 is about 434.5239606770.

The spelling of 82042935 in words is "eighty-two million, forty-two thousand, nine hundred thirty-five".