82509035 has 16 divisors (see below), whose sum is σ = 113308416. Its totient is φ = 56501088.

The previous prime is 82509023. The next prime is 82509043. The reversal of 82509035 is 53090528.

It is a happy number.

It is not a de Polignac number, because 82509035 - 2²⁰ = 81460459 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82508992 and 82509010.

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, 39692 + ... + 41718.

It is an arithmetic number, because the mean of its divisors is an integer number (7081776).

Almost surely, 2^82509035 is an apocalyptic number.

82509035 is a deficient number, since it is larger than the sum of its proper divisors (30799381).

82509035 is a wasteful number, since it uses less digits than its factorization.

82509035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202.

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 82509035 is about 9083.4484090570. The cubic root of 82509035 is about 435.3452756998.

The spelling of 82509035 in words is "eighty-two million, five hundred nine thousand, thirty-five".