82006993 has 2 divisors, whose sum is σ = 82006994. Its totient is φ = 82006992.

The previous prime is 82006987. The next prime is 82006999. The reversal of 82006993 is 39960028.

It is a balanced prime because it is at equal distance from previous prime (82006987) and next prime (82006999).

It can be written as a sum of positive squares in only one way, i.e., 80138304 + 1868689 = 8952^2 + 1367^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82006993 is a prime.

82006993 is a modest number, since divided by 6993 gives 82 as remainder.

It is not a weakly prime, because it can be changed into another prime (82006999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41003496 + 41003497.

It is an arithmetic number, because the mean of its divisors is an integer number (41003497).

Almost surely, 2^82006993 is an apocalyptic number.

It is an amenable number.

82006993 is a deficient number, since it is larger than the sum of its proper divisors (1).

82006993 is an equidigital number, since it uses as much as digits as its factorization.

82006993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 82006993 is about 9055.7712537365. The cubic root of 82006993 is about 434.4604982092.

The spelling of 82006993 in words is "eighty-two million, six thousand, nine hundred ninety-three".