10005823 has 2 divisors, whose sum is σ = 10005824. Its totient is φ = 10005822.

The previous prime is 10005791. The next prime is 10005829. The reversal of 10005823 is 32850001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10005823 - 2⁵ = 10005791 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10005823.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002911 + 5002912.

It is an arithmetic number, because the mean of its divisors is an integer number (5002912).

Almost surely, 2^10005823 is an apocalyptic number.

10005823 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005823 is an equidigital number, since it uses as much as digits as its factorization.

10005823 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 10005823 is about 3163.1982233177. The cubic root of 10005823 is about 215.4852784664.

Adding to 10005823 its reverse (32850001), we get a palindrome (42855824).

The spelling of 10005823 in words is "ten million, five thousand, eight hundred twenty-three".