82579693 has 16 divisors (see below), whose sum is σ = 100258560. Its totient is φ = 66398976.

The previous prime is 82579687. The next prime is 82579697. The reversal of 82579693 is 39697528.

It is not a de Polignac number, because 82579693 - 2¹³ = 82571501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82579697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41755 + ... + 43687.

It is an arithmetic number, because the mean of its divisors is an integer number (6266160).

Almost surely, 2^82579693 is an apocalyptic number.

It is an amenable number.

82579693 is a deficient number, since it is larger than the sum of its proper divisors (17678867).

82579693 is a wasteful number, since it uses less digits than its factorization.

82579693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316.

The product of its digits is 816480, while the sum is 49.

The square root of 82579693 is about 9087.3369586475. The cubic root of 82579693 is about 435.4695119925.

The spelling of 82579693 in words is "eighty-two million, five hundred seventy-nine thousand, six hundred ninety-three".