83006713 has 2 divisors, whose sum is σ = 83006714. Its totient is φ = 83006712.

The previous prime is 83006669. The next prime is 83006717. The reversal of 83006713 is 31760038.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78375609 + 4631104 = 8853^2 + 2152^2 .

It is a cyclic number.

It is not a de Polignac number, because 83006713 - 2⁹ = 83006201 is a prime.

It is a super-2 number, since 2×83006713² = 13780228806128738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (83006717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41503356 + 41503357.

It is an arithmetic number, because the mean of its divisors is an integer number (41503357).

Almost surely, 2^83006713 is an apocalyptic number.

It is an amenable number.

83006713 is a deficient number, since it is larger than the sum of its proper divisors (1).

83006713 is an equidigital number, since it uses as much as digits as its factorization.

83006713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 83006713 is about 9110.8019954338. The cubic root of 83006713 is about 436.2188269009.

The spelling of 83006713 in words is "eighty-three million, six thousand, seven hundred thirteen".