1006613 has 2 divisors, whose sum is σ = 1006614. Its totient is φ = 1006612.

The previous prime is 1006609. The next prime is 1006633. The reversal of 1006613 is 3166001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 996004 + 10609 = 998^2 + 103^2 .

It is an emirp because it is prime and its reverse (3166001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006613 - 2² = 1006609 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1006591 and 1006600.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503306 + 503307.

It is an arithmetic number, because the mean of its divisors is an integer number (503307).

2^1006613 is an apocalyptic number.

It is an amenable number.

1006613 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006613 is an equidigital number, since it uses as much as digits as its factorization.

1006613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1006613 is about 1003.3010515294. The cubic root of 1006613 is about 100.2199492021.

The spelling of 1006613 in words is "one million, six thousand, six hundred thirteen".