7827713 has 2 divisors, whose sum is σ = 7827714. Its totient is φ = 7827712.

The previous prime is 7827671. The next prime is 7827719. The reversal of 7827713 is 3177287.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6697744 + 1129969 = 2588^2 + 1063^2 .

It is a cyclic number.

It is not a de Polignac number, because 7827713 - 2¹² = 7823617 is a prime.

It is a super-2 number, since 2×7827713² = 122546181620738, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (7827719) 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, 3913856 + 3913857.

It is an arithmetic number, because the mean of its divisors is an integer number (3913857).

Almost surely, 2^7827713 is an apocalyptic number.

It is an amenable number.

7827713 is a deficient number, since it is larger than the sum of its proper divisors (1).

7827713 is an equidigital number, since it uses as much as digits as its factorization.

7827713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16464, while the sum is 35.

The square root of 7827713 is about 2797.8050325210. The cubic root of 7827713 is about 198.5538433586.

The spelling of 7827713 in words is "seven million, eight hundred twenty-seven thousand, seven hundred thirteen".