10005623 has 2 divisors, whose sum is σ = 10005624. Its totient is φ = 10005622.

The previous prime is 10005607. The next prime is 10005629. The reversal of 10005623 is 32650001.

It is a strong prime.

It is an emirp because it is prime and its reverse (32650001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10005623 - 2⁴ = 10005607 is a prime.

It is a super-2 number, since 2×10005623² = 200224983236258, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002811 + 5002812.

It is an arithmetic number, because the mean of its divisors is an integer number (5002812).

Almost surely, 2^10005623 is an apocalyptic number.

10005623 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005623 is an equidigital number, since it uses as much as digits as its factorization.

10005623 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 10005623 is about 3163.1666095860. The cubic root of 10005623 is about 215.4838427243.

Adding to 10005623 its reverse (32650001), we get a palindrome (42655624).

The spelling of 10005623 in words is "ten million, five thousand, six hundred twenty-three".