82583609 has 8 divisors (see below), whose sum is σ = 83220480. Its totient is φ = 81949696.

The previous prime is 82583591. The next prime is 82583629. The reversal of 82583609 is 90638528.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82583609 - 2¹² = 82579513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82583629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98012 + ... + 98850.

It is an arithmetic number, because the mean of its divisors is an integer number (10402560).

Almost surely, 2^82583609 is an apocalyptic number.

It is an amenable number.

82583609 is a deficient number, since it is larger than the sum of its proper divisors (636871).

82583609 is a wasteful number, since it uses less digits than its factorization.

82583609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479.

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 82583609 is about 9087.5524207566. The cubic root of 82583609 is about 435.4763953298.

The spelling of 82583609 in words is "eighty-two million, five hundred eighty-three thousand, six hundred nine".