10009029 has 16 divisors (see below), whose sum is σ = 14212800. Its totient is φ = 6247296.

The previous prime is 10009019. The next prime is 10009037. The reversal of 10009029 is 92090001.

It is a happy number.

10009029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10009029 - 2⁸ = 10008773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10008996 and 10009014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4087 + ... + 6059.

It is an arithmetic number, because the mean of its divisors is an integer number (888300).

Almost surely, 2^10009029 is an apocalyptic number.

10009029 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10009029 is a deficient number, since it is larger than the sum of its proper divisors (4203771).

10009029 is a wasteful number, since it uses less digits than its factorization.

10009029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084.

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 10009029 is about 3163.7049483161. The cubic root of 10009029 is about 215.5082908006.

The spelling of 10009029 in words is "ten million, nine thousand, twenty-nine".