82784509 has 16 divisors (see below), whose sum is σ = 89859456. Its totient is φ = 75980800.

The previous prime is 82784491. The next prime is 82784563. The reversal of 82784509 is 90548728.

It is a cyclic number.

It is not a de Polignac number, because 82784509 - 2¹⁷ = 82653437 is a prime.

It is a super-4 number, since 4×82784509⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82784209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128829 + ... + 129469.

It is an arithmetic number, because the mean of its divisors is an integer number (5616216).

Almost surely, 2^82784509 is an apocalyptic number.

It is an amenable number.

82784509 is a deficient number, since it is larger than the sum of its proper divisors (7074947).

82784509 is a wasteful number, since it uses less digits than its factorization.

82784509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836.

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 82784509 is about 9098.5992878025. The cubic root of 82784509 is about 435.8292351634.

The spelling of 82784509 in words is "eighty-two million, seven hundred eighty-four thousand, five hundred nine".