10225829 has 2 divisors, whose sum is σ = 10225830. Its totient is φ = 10225828.

The previous prime is 10225811. The next prime is 10225841. The reversal of 10225829 is 92852201.

10225829 is digitally balanced in base 3, 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., 10176100 + 49729 = 3190^2 + 223^2 .

It is a cyclic number.

It is not a de Polignac number, because 10225829 - 2⁸ = 10225573 is a prime.

It is a super-3 number, since 3×10225829³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10225889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5112914 + 5112915.

It is an arithmetic number, because the mean of its divisors is an integer number (5112915).

Almost surely, 2^10225829 is an apocalyptic number.

It is an amenable number.

10225829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10225829 is an equidigital number, since it uses as much as digits as its factorization.

10225829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 10225829 is about 3197.7850146625. The cubic root of 10225829 is about 217.0531911768.

The spelling of 10225829 in words is "ten million, two hundred twenty-five thousand, eight hundred twenty-nine".