83006993 has 2 divisors, whose sum is σ = 83006994. Its totient is φ = 83006992.

The previous prime is 83006969. The next prime is 83007017. The reversal of 83006993 is 39960038.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (83006969) and next prime (83007017).

It can be written as a sum of positive squares in only one way, i.e., 72301009 + 10705984 = 8503^2 + 3272^2 .

It is a cyclic number.

It is not a de Polignac number, because 83006993 - 2¹⁰ = 83005969 is a prime.

It is a Sophie Germain prime.

83006993 is a modest number, since divided by 6993 gives 83 as remainder.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (83006093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41503496 + 41503497.

It is an arithmetic number, because the mean of its divisors is an integer number (41503497).

Almost surely, 2^83006993 is an apocalyptic number.

It is an amenable number.

83006993 is a deficient number, since it is larger than the sum of its proper divisors (1).

83006993 is an equidigital number, since it uses as much as digits as its factorization.

83006993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 83006993 is about 9110.8173617958. The cubic root of 83006993 is about 436.2193173879.

The spelling of 83006993 in words is "eighty-three million, six thousand, nine hundred ninety-three".