82509834 has 16 divisors (see below), whose sum is σ = 180021600. Its totient is φ = 25002960.

The previous prime is 82509827. The next prime is 82509859. The reversal of 82509834 is 43890528.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82509792 and 82509801.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 625009 + ... + 625140.

It is an arithmetic number, because the mean of its divisors is an integer number (11251350).

Almost surely, 2^82509834 is an apocalyptic number.

82509834 is an abundant number, since it is smaller than the sum of its proper divisors (97511766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82509834 is a wasteful number, since it uses less digits than its factorization.

82509834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250165.

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 82509834 is about 9083.4923900447. The cubic root of 82509834 is about 435.3466809590.

The spelling of 82509834 in words is "eighty-two million, five hundred nine thousand, eight hundred thirty-four".