7823 has 2 divisors, whose sum is σ = 7824. Its totient is φ = 7822.

The previous prime is 7817. The next prime is 7829. The reversal of 7823 is 3287.

It can be divided in two parts, 782 and 3, that multiplied together give a triangular number (2346 = T_{68}).

7823 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (7817) and next prime (7829).

7823 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 7823 - 2^{6} = 7759 is a prime.

It is a super-2 number, since 2×7823^{2} = 122398658, which contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 7795 and 7804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7829) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3911 + 3912.

It is an arithmetic number, because the mean of its divisors is an integer number (3912).

2^{7823} is an apocalyptic number.

7823 is a deficient number, since it is larger than the sum of its proper divisors (1).

7823 is an equidigital number, since it uses as much as digits as its factorization.

7823 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 336, while the sum is 20.

The square root of 7823 is about 88.4477246740. The cubic root of 7823 is about 19.8513986160.

The spelling of 7823 in words is "seven thousand, eight hundred twenty-three".

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