83082593 has 12 divisors (see below), whose sum is σ = 94475220. Its totient is φ = 72922080.

The previous prime is 83082589. The next prime is 83082599. The reversal of 83082593 is 39528038.

It can be written as a sum of positive squares in 2 ways, for example, as 38353249 + 44729344 = 6193^2 + 6688^2 .

It is not a de Polignac number, because 83082593 - 2² = 83082589 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83082599) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8330 + ... + 15347.

It is an arithmetic number, because the mean of its divisors is an integer number (7872935).

Almost surely, 2^83082593 is an apocalyptic number.

It is an amenable number.

83082593 is a deficient number, since it is larger than the sum of its proper divisors (11392627).

83082593 is a wasteful number, since it uses less digits than its factorization.

83082593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23728 (or 23717 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 83082593 is about 9114.9653318046. The cubic root of 83082593 is about 436.3517085373.

It can be divided in two parts, 8308 and 2593, that added together give a palindrome (10901).

The spelling of 83082593 in words is "eighty-three million, eighty-two thousand, five hundred ninety-three".