82045993 has 2 divisors, whose sum is σ = 82045994. Its totient is φ = 82045992.

The previous prime is 82045987. The next prime is 82046011. The reversal of 82045993 is 39954028.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67848169 + 14197824 = 8237^2 + 3768^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82045993 is a prime.

It is not a weakly prime, because it can be changed into another prime (82045913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41022996 + 41022997.

It is an arithmetic number, because the mean of its divisors is an integer number (41022997).

Almost surely, 2^82045993 is an apocalyptic number.

It is an amenable number.

82045993 is a deficient number, since it is larger than the sum of its proper divisors (1).

82045993 is an equidigital number, since it uses as much as digits as its factorization.

82045993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 82045993 is about 9057.9243207260. The cubic root of 82045993 is about 434.5293593047.

It can be divided in two parts, 82045 and 993, that added together give a palindrome (83038).

The spelling of 82045993 in words is "eighty-two million, forty-five thousand, nine hundred ninety-three".