10056829 has 2 divisors, whose sum is σ = 10056830. Its totient is φ = 10056828.

The previous prime is 10056811. The next prime is 10056841. The reversal of 10056829 is 92865001.

10056829 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., 8543929 + 1512900 = 2923^2 + 1230^2 .

It is a cyclic number.

It is not a de Polignac number, because 10056829 - 2⁷ = 10056701 is a prime.

It is a super-2 number, since 2×10056829² = 202279619070482, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10056829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10056889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5028414 + 5028415.

It is an arithmetic number, because the mean of its divisors is an integer number (5028415).

Almost surely, 2^10056829 is an apocalyptic number.

It is an amenable number.

10056829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10056829 is an equidigital number, since it uses as much as digits as its factorization.

10056829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 10056829 is about 3171.2503843122. The cubic root of 10056829 is about 215.8508129067.

The spelling of 10056829 in words is "ten million, fifty-six thousand, eight hundred twenty-nine".