82038509 has 16 divisors (see below), whose sum is σ = 97401600. Its totient is φ = 67630464.

The previous prime is 82038491. The next prime is 82038521. The reversal of 82038509 is 90583028.

It is a cyclic number.

It is not a de Polignac number, because 82038509 - 2²⁰ = 80989933 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82038529) 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, 21272 + ... + 24830.

It is an arithmetic number, because the mean of its divisors is an integer number (6087600).

Almost surely, 2^82038509 is an apocalyptic number.

82038509 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

82038509 is a deficient number, since it is larger than the sum of its proper divisors (15363091).

82038509 is a wasteful number, since it uses less digits than its factorization.

82038509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692.

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

The square root of 82038509 is about 9057.5111923751. The cubic root of 82038509 is about 434.5161467292.

The spelling of 82038509 in words is "eighty-two million, thirty-eight thousand, five hundred nine".