10005929 has 2 divisors, whose sum is σ = 10005930. Its totient is φ = 10005928.

The previous prime is 10005887. The next prime is 10005937. The reversal of 10005929 is 92950001.

It is a happy number.

10005929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6620329 + 3385600 = 2573^2 + 1840^2 .

It is an emirp because it is prime and its reverse (92950001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10005929 - 2¹² = 10001833 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10005898 and 10005907.

It is not a weakly prime, because it can be changed into another prime (10005329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002964 + 5002965.

It is an arithmetic number, because the mean of its divisors is an integer number (5002965).

Almost surely, 2^10005929 is an apocalyptic number.

It is an amenable number.

10005929 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005929 is an equidigital number, since it uses as much as digits as its factorization.

10005929 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 10005929 is about 3163.2149784673. The cubic root of 10005929 is about 215.4860394019.

The spelling of 10005929 in words is "ten million, five thousand, nine hundred twenty-nine".